An airline's public relations department claims that when luggage is lost, 88% is recovered and delivered to its owner within 24 hours. A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day. At the 0.10 level of significance, do the data provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0. 88? Identify the hypothesis statements you would use to test this. H0: p = 0.88 versus HA : p < 0.88 H0: p < 0.88 versus HA : p = 0.88 H0: p = 0.863 versus HA : p < 0.863

Answers

Answer 1

Answer:

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.

Step-by-step explanation:

Test if the proportion of times that luggage is returned within 24 hours is less than 0. 88

At the null hypothesis, we test if the proportion is of 0.88, that is:

[tex]H_0: p = 0.88[/tex]

At the alternate hypothesis, we test if this proportion is less than 0.88, that is:

[tex]H_a: p < 0.88[/tex]

The hypothesis statements are: H0: p = 0.88 versus HA : p < 0.88

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.88 is tested at the null hypothesis:

This means that [tex]\mu = 0.88, \sigma = \sqrt{0.88*0.12}[/tex]

A consumer group who surveyed a large number of air travelers found that 138 out of 160 people who lost luggage on that airline were reunited with the missing items by the next day.

This means that [tex]n = 160, X = \frac{138}{160} = 0.8625[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.8625 - 0.88}{\frac{\sqrt{0.88*0.12}}{\sqrt{160}}}[/tex]

[tex]z = -0.68[/tex]

P-value of the test:

The p-value of the test is the probability of finding a sample proportion below 0.8625, which is the p-value of z = -0.68.

Looking at the z-table, the p-value of z = -0.68 is of 0.2483.

The p-value of the test is 0.2483 > 0.1, which means that the data does not provide sufficient evidence to conclude that the proportion of times that luggage is returned within 24 hours is less than 0.88.


Related Questions

Solve for x.
Your answer must be simplified.
х
--30 <
-4.
First to answer correctly is Brainlyest

Answers

Answer:

x < 26

Step-by-step explanation:

Given the following algebraic expression;

x - 30 < -4

To find the value of x in its simplest form;

First of all, we would have to rearrange the algebraic expression to make the variable on one side and the integer on the other side;

Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

x < -4 + 30

x < 26

Mama kupiła szampon do włosów, mydło i krem do rąk. Za te zakupy zapłaciła 19 zł. Szampon kosztował o 7 zł więcej niż mydło, a krem do rąk był cztery razy droższy niż mydło.
Ile kosztowała każda z rzeczy zakupionych przez mamę? Ułóż odpowiednie równanie i je
rozwiąż.

Answers

Answer:

you language is i don't know

Step-by-step explanation:

for now I did

Can someone help me with this?

Answers

Answer:

I can help you via Watsapp

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830

Answers

Answer:

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

73% of voters support it.

This means that [tex]p = 0.73[/tex]

Sample of 20 voters

This means that [tex]n = 20[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.73[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is

12/20 = 0.6, so this is the p-value of Z when X = 0.6.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]

[tex]Z = -1.31[/tex]

[tex]Z = -1.31[/tex] has a p-value of 0.0951.

So

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

The standard error of the sample proportion is 0.0098.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951

Given that,

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.

You randomly ask 20 Greensboro voters whether they support the bond referendum.

We have to determine,

The standard error of the sample proportion is.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .

According to the question,

There is a school bond referendum in Greensboro, and 73% of voters support it.

20 Greensboro voters whether they support the bond referendum.

To find standard deviation of sample proportion.

[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Where, p = 73% = 0.73

And n = 20

Therefore,

[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]

The standard error of the sample proportion is 0.0098.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,

[tex]\dfrac{12}{20 }= 0.6[/tex]

 This is the p-value of Z when X = 0.6.

Therefore,

[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]

Z = -1.31 has a p-value of 0.0951.

Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

To know more about Probability click the link given below.

https://brainly.com/question/24248147

Find the area of the parallelogram shown below 5 3

Answers

Answer:

15 square units

Step-by-step explanation:

If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.

All you have to do is length x height

5 x 3 = 15

Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm

Answers

Answer:

53.76 cm3

Step-By-Step Explanation

CAN SOME OME ANSWER A AND B PLEASE!!z

Answers

(3a) |-12|< |15| bc the absolute value of -12 is 12. 15 is greater than 12.

(3b) -3/4 is less than -2/3. We can find this by converting the fractions into decimals. -3/4 = -.75 -2/3 = -.66

Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg

Answers

I’m really sure it’s D. Mr. Eisenberg

Which equation is true?

Answers

Answer:

9 × 8 = 8 × 9 equation is true

A flashlight flashes every 45 seconds. After 10 ½ minutes, how many times does the light flash?

Answers

Answer:

14

Step-by-step explanation:

Answer:

14 flashes.

Step-by-step explanation:

1 minute = 60 seconds

x minutes = 45 seconds.

1/x = 60/45                           Cross multiply

60x = 45                               Divide by 60

x = 45/60

x = .75

10 1/2 minutes = 10.5 minutes.

x flashes / 10.5 minutes = 1 flash / 0.75 minutes   Multiply by 10.5

x = 10.5/0.75

x = 14

Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?

Answers

Answer:

24°

Step-by-step explanation:

The sum of all interior angles of a triangle always equal to 180°.

There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.

[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]

Isolate x by subtracting 156 to both sides.

[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]

Can someone help me find the measure of each angle indicated please

Answers

Answer:

Option B, 105 would be correct

Step-by-step explanation:

The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°

Hope this helps!

What Is 3/4x1/3? Please Help Quick

Answers

Answer:

1/4

Step-by-step explanation:

For this, think of dividing 3/4 into 3 parts, each of them being 1/3 of the original amount.

With this, it would be 1/4, as 1/4 + 1/4 + 1/4 = 3/4.

The knockoff Jersey store sold 6 more Leafs jerseys than Senators. Four times the number of Senators Jersey sold plus three times the number of Leafs jerseys sold is 102. How many Leaf Jerseys were sold?

Answers

Answer:

72

Step-by-step explanation:

6x4=24x3=72

In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Aaron sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
41 visitors purchased no costume.
78 visitors purchased exactly one costume.
10 visitors purchased more than one costume.
If next week, he is expecting 2000 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number.

Answers

Answer:

115

Step-by-step explanation:

41 no costume, 78 exactly one costume, 10 more than one costume.

41+78+\color{steelblue}{10}=

41+78+10=

\,\,\color{indianred}{129}

129

There were a toal of 129 visitors. 10 purchased more than one costume.

Probability the next customer will purchase more than one costume:

\frac{\color{steelblue}{10}}{\color{indianred}{129}}\phantom{=}

129

10

​  

=

\,\,

Out of 2000 new trials, we would expect more than one costume to be selected:

\color{purple}{2000}\times\frac{\color{steelblue}{\color{steelblue}{10}}}{\color{indianred}{\color{indianred}{129}}}=

2000×  

129

10

​  

=

\,\,155.038759...

155.038759...

\approx

\,\,155

155

The number of visitors that expect to buy more than one costume will be 155.

What is the expected value?

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

Aaron creates a website where players may trade and purchase these costumes. The numbers below show how many people visited the website and how many costumes were bought in a single day.

The probability of visitors purchasing more than one costume is calculated as,

p = 10 / (41 + 78 + 10)

p = 10 / 129

If next week, he is expecting 2000 visitors. Then the expected value is given as,

E = 2000 x (10 / 129)

E = 155.038

E ≈ 155

The number of visitors that expect to buy more than one costume will be 155.

More about the expected value link is given below.

https://brainly.com/question/13945225

#SPJ2

Help !!!! I don’t understand

Answers

Answer:

[tex](g\ o\ f)=-20x+10[/tex]

Step-by-step explanation:

One is given the following functions:

f(x) =5x + 2

g(x) = 4x + 2

One is asked to find the following:

[tex](g\ o\ f)(x)[/tex]

One can rewrite this operation as the following:

g(f(x))

In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.

[tex]g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2[/tex]

Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,

[tex]=-20x+8+2\\\\=-20x+10[/tex]

solve for x?

A. 2
B. 15
C. 50
D. 10​

Answers

Answer:

Is it C. 50

Step-by-step explanation:

Answer:

Easy is 15 bc 15 and 10 are in a 5 equal to 5 x 2 10 and you take the 5 away from the 50 and so its 15 trust

Step-by-step explanation:

Each day 1/2 of the money that is in a bank is removed .no money is added to the vault .which of the following models the situation

Answers

c. exponential decay function

solve for x 9.2, 16.5, x

Answers

Answer:

152

Step-by-step explanation:

Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e

Answers

Answer:

d

Step-by-step explanation:

If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?

Answers

Answer:

A = $3,526.50

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = [tex]\frac{R}{100}[/tex]

r = [tex]\frac{3.5}{100}[/tex]

r = 0.035 rate per year,

Then solve the equation for A

A = P(1 + [tex]\frac{r}{n}[/tex])nt

A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)

A = 2,500.00(1 + 0.035)(10)

A = $3,526.50

Hence:

The total amount of over 10 years is $3,526.50.

The total number of running yards in a football game was less than 100. The inequality x <100 represents the
situation. Which graph represents the inequality?
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
95 96 97 98 99 100 101 102103104105
95 96 97 98 99 100101102103104105

Answers

Answer:

answer is B

Step-by-step explanation:

got it right on edge :)

3X + 2 = 17 how do i show my work for this help

Answers

3x +2=17
-2 -2
3x= 15
/3 /3

x=5

What is the area of the isosceles triangle shown?

Answers

Answer:

672 meters squared

Step-by-step explanation:

Area of Triangle: b*h*1/2

The isosceles triangle's height, splits the base in half.

Answer:

672

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base length and h = height

In the triangle shown, we are only given the base length

This means that we must find the height in order to find the area.

We can do this by using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

Two right triangles are formed within the isosceles triangle.

Each has a hypotenuse of 50 m, a base length of 28/2=14m ( because they are sharing the base length ) and they are both sharing the height.

So we are given the hypotenuse and a leg and we need to find the other leg

So we plug in what we are given and solve for the missing side length

[tex]50^2=a^2+14^2\\50^2=2500\\14^2=196\\2500=a^2+196[/tex]

step 1 subtract 196 from each side

2500 - 196 = 2304

196 - 196 cancels out

we now have 2304 = a²

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{2304} =48[/tex]

we're left with a = 48

This means that the height of the isosceles triangle is 48m

Now we can find the area.

Using the formula stated previous....

[tex]A=\frac{28*48}{2} \\28*48=1344\\\frac{1344}{2} =672[/tex]

Hence, the area is 672m²

Pls help me with math

Answers

Answer:

true

Step-by-step explanation:

They are dependent because the outcome of the event affects them

the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards

Answers

Answer:

Step-by-step explanation:

W = 2L + 3, and:

P = 2W + 2L = 192

Substituting 2L + 3 for W, we get:

P = 2(2L + 3) + 2L = 192, or

4L + 6 + 2L = 192, or:

6L = 186

L = 186/6 = 31

The length is 31, the width is 62 + 3, or 65

Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62  = 192 (OK!)

If r= 1 and 0 = 5π/4, what is the approximate arc length?

Answers

Answer:  Choice D

===============================================

Work Shown:

L = theta*r

L = (5pi/4)*1

L = 5pi/4

L = 3.92699081698724 approximately

L = 3.927 units

The formula above only works if theta is in radians.

If the angle is in degrees, then you need to convert using the rule

y = (pi/180)*x

where x is the angle in degrees and y is the equivalent angle measure in radians.

In the fourth step, I used my calculator to get that value. You could use pi = 3.14, but in this case, your teacher wants you to use the stored value of pi found in the calculator.

---------------------------

Extra info (optional section):

If you're curious why that formula works, then consider a circle with circumference C = 2*pi*r. This is the distance around the circle, aka the perimeter.

The arc length in red is only a fractional portion of the full perimeter. Specifically, that fractional amount is theta/2pi. We multiply this fraction by the full perimeter and simplify

L = arc length

L = (full circle circumference)*(fractional amount)

L = (2*pi*r)*(theta/2pi)

L = theta*r

The "2pi" terms cancel in the last step. Again, this formula only works if theta is in radians. This is due to the fractional portion theta/2pi.

There is an equivalent formula for theta being in degrees, which is

L = (theta/360)*2*pi*r

but this version is a bit messier in my opinion.

Answer:3.927

Step-by-step explanation:

Pls help I’ll brainlest hurry due in 3 minutes

Answers

Answer:

B

Step-by-step explanation:

MOVE TO THE RIGHT 9 TIMES!!

PLEASE HELP ASAP (:
Fill in the blank to complete this trig
ratio.
sin a =

Answers

Answer:

Sin(a)= [tex]\frac{z}{x}[/tex]

Hope this helps!

What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.

Use numbers 1,2,3,4,5,6

Please help I will give 100 points.

Answers

Answer:

A(2,2) _scale factor ½--(1,1)

B(4,6)_scale factor ½--(2,3)

C(6,2)_scale factor ½--(3,1)

is a required coordinate

A(2,2)B(4,6)C(6,2)

Scale factor=1/2

Apply and get new coordinates

A'=(1,1)B'=(2,3)C'=(3,1)
Other Questions
If the sales tax for the city of Florida is 6.75%, how much tax would you pay for an item that costs $ 150.00? Which quotation from the poem "Ellis Island" supports the theme "Immigration to America did not answer everyone's dreams"? Lands invaded / when the earth became owned. I too come to this island, 7 nine decades the answerer / of dreams. My grandparents / waited the long days of quarantine, / after leaving the sickness,Waiting for those who'd worked / a thousand years / yet never owned their own. Can someone answer this Classify the triangle: I NEED HELPPPP PLEASEEEEEEEEEEEEE Tim dug a hole that was 24 inches deep. Later that day it rained washing 11 inches of dirt back back in the hole. After it dried, Tim went back out and dug the hole 13 inches deeper. How deep was the hole after he finished? Show your work. Janet is working on a highly confidential company budget spreadsheet, and she needs to prevent anyone, including administrators in the IT department, from being able to open the file and view its contents.What should she do? A) Use the Home tab, select Protect Sheet, and enter a password to prevent access to the sheet.B) Click the Info tab in the Backstage view, select Protect Workbook, select Encrypt with Password, and enter a password.C) Click the Review tab, select Protect Workbook, and enter a password for protecting the sheet.D) Click the View tab and customize the view to protect the sheet from unauthorized users. Which choice BEST states the central message of this story? what seven elements have the appearance and properties of a metal but behave like the non-metal in certain situations? Danny is measuring two pyramids whose bases are squares. Given the height hhh and volume VVV of the first pyramid, Danny uses the formula a=\sqrt{\dfrac{3V}{h}}a= h 3V a, equals, square root of, start fraction, 3, V, divided by, h, end fraction, end square root to compute its base's side length aaa to be 555 meters. The second pyramid has the same volume, but has 444 times the height. What is the side length of its base? Explain how the Gulf of Tonkin Resolution affected the balance of power between the President and Congress at lunch four friends drink 8 pints of milk. How many fluid ounces is this equal to? 1) 128 FL oz 2)64 FL oz 3)32oz 4) 16 FL oz The speed you read from your speedometer is your ____________________. *average speeddirectioninstantaneous speeddistance Question 2Which of these are good options if you can't afford college?A. Sign up for a high interest loan with some loan company.B. Apply for grants or college loans.C.Apply for a work-study program that allows you to go to school and work atthe same time.D. Both B and C. _PCi5 + _H20 + _H3PO4 _HCIA.) 1,3,1,5B.) 2,4,1,5C.) 1,4,1,5D.) 2,1,2,5 need help 8th grade math mayaaam this is for you please answer what is the claim in this excerpt the role of social media in the arab uprisings Which numbers are equal to 24 8 divided by 1/36 divided by 1/89 divided by 1/44 divided by 1/6 12 divided by 1/2 When solving for y, in which step did Ramon make a mistake?a) step one,Ramona re-wrote the system incorrectlyb) step two,Ramona should have multiplied the first equation by -4 instead of -2c) in step three Ramona simplify -28+10 as -18 instead of simplifying to 18d) in step four, Ramona should have divided by -6 instead of dividing by 6 show work If arrested by private security, Miranda Rights are always provided.FalseTrue