Answer:
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
Step-by-step explanation:
Conduct a test to determine whether the true proportion of interest is higher than 0.7.
This means that the null hypothesis is: [tex]H_{0}: p = 0.7[/tex]
And the alternate hypothesis is: [tex]H_{a}: p > 0.7[/tex]
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.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.
This means that [tex]n = 500, X = \frac{375}{500} = 0.75[/tex]
Value of the z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}[/tex]
[tex]z = 2.44[/tex]
P-value of the test:
Probability of z being larger than 2.44, that is, a proportion larger than 0.75.
This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S
Z = 2.44 has a pvalue of 0.9927
1 - 0.9927 = 0.0073
0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.
PLEASE HELP!!! ILL GIVE BRAINLIEST !! Which is the correct answer ?
Answer:
vertical angles
Step-by-step explanation:
bc they are across from eachother
Identify the y-intercept in y=-1/3x + 2
Hint: y = mx + b
1. -1/3
2. 2
3. -2/3
4. -2
Answer:
2
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
y = -1/3x + 2
b = 2
Answer:
since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept
Please help it’s due by the end of tonight and I’m not sure what to do if you can’t see (sorry I took a picture of my computer it’s a bit Glitched) you can zoom in
how many square feet is in a acre
Use the remainder theorem and synthetic division to find f(k).
k= -1; f(x) = x² - 4x +5
Answer:
10
Step-by-step explanation:
i hope this helps you <3
A rectangular prism has a length of 11 centimeters, a height of 18 centimeters, and a width of 11 centimeters. What is its volume, in cubic centimeters?
Answer:
2,178
Step-by-step explanation:
Multiply all the numbers together in other words do the length of the base times the width of the base then multiply the product by the height of the prism.
(11)(11)18
1. (20 points) One step in the manufacture of a certain metal clamp involves the drilling of four holes. In a sample of 150 clamps, the average time needed to complete this step was 72 seconds and standard deviation was 10 seconds. (a) Find a 99.5% confidence interval for the mean time needed to complete the step. (b) What is the confidence level of the interval (71, 73)? (c) How many clamps must be sampled so that 99.5% confidence interval specifies the mean to within ±1.5 seconds? (d) Can you conclude that the mean time needed to complete the step is greater than 73 seconds? i. State hypothesis. ii. Compute P-value. iii. What is your conclusion?
Answer:
(69.708 ; 74.292) ; 78% ; 350 ;
H0 : μ = 72
H0 : μ > 72
Pvalue = 0.8897
there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Step-by-step explanation:
99.5% confidence level, = 2.807
Sample size, n = 150
xbar = 72
Standard deviation, s = 10
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 2.807 * 10/sqrt(150)
Margin of Error = 2.292
Lower boundary = 72 - 2.292 = 69.708
Upper boundary = 72 + 2.292 = 74.292
(69.708 ; 74.292)
B.)
Confidence level of the interval (71, 73)
(72 - 71 ) or (73 - 72)
Margin of Error = 1
Margin of Error = Zcritical * s/sqrt(n)
1 = Zcritical * 10/sqrt(150)
1 = Zcritical * 0.8164965
Zcritical = 1 / 0.8164965
Zcritical = 1.2247
α = 0.22 = 1 - 0.22 = 0.78 = 78%
C.)
Margin of Error = ±1.5
1.5 = Zcritical * s/sqrt(n)
99.5% confidence level, = 2.807
1.5 = 2.807 * 10/sqrt(n)
1.5 = 28.07 / sqrt(n)
Square both sides
1.5² = 28.08² / n
2.25n = 788.4864
n = 788.4864 / 2.25
n = 350.4384
n = 350 samples
D.)
H0 : μ = 72
H0 : μ > 72
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(73 - 72) ÷ 10/sqrt(150)
Test statistic = 1.2247
Pvalue :
P(Z < 1.2247) = 0.8897
Pvalue > α
0.8897 > 0.005
We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.
Which of the following have the correct solution? Check all
that apply.
0 2x + 5 = 19; x = 7
3 + x + 2 - x = 16; x = 3
X +2
= 2; x=8
5
0 6 = 2x – 8; x = 7
14 = x +5; x = 18
Step-by-step explanation:
To do this, we will substitute the x values to their corresponding equations,
1)
[tex]2x + 5 \\ = 2(7) + 5 \\ = 14 + 5 \\ = 19[/tex]
Given 2x + 15 = 19
Calculated 2x + 15 = 19
Given = Calculated, this solution is correct.
2)
[tex]3 + x + 2 -x \\ = 3 + 3 + 2 - 3 \\ = 8 - 3 \\ = 5[/tex]
Given 3 + x + 2 - x = 16
Calculated 3 + x + 2 - x = 5
Given not equal to calculated, this solution is incorrect.
3)
[tex] \frac{x + 2}{5} \\ = \frac{8 + 2}{5} \\ = \frac{10}{5} \\ = 2[/tex]
Given (x+2)/5 = 2
Calculated (x+2)/5 = 2
Given = Calculated, this solution is correct.
4)
[tex]6 = 2x - 8 \\ 2x - 8 = 6[/tex]
[tex]2x - 8 \\ = 2(7) - 8 \\ = 14 - 8 \\ = 6[/tex]
Given 2x - 8 = 6
Calculated 2x - 8 = 6
Given = Calculated, this solution is correct.
5)
[tex]14 = \frac{1}{3} x + 5 \\ \frac{1}{3} x + 5 = 14[/tex]
[tex] \frac{1}{3} x + 5 \\ = \frac{1}{3}(18) + 5 \\ = \frac{18}{3} + 5 \\ = 6 + 5 \\ = 11[/tex]
Given 1/3x + 5 = 14
Calculated 1/3x + 5 = 11
Given not equal to Calculated, this solution is not correct.
Therefore the Correct solutions are 1,3 and 4.
help? please witt these 2
Answer:
C: x=6 D: x=2
Step-by-step explanation:
Hope this helps
Answer choices
50%
60%
65%
If you put a link I will report
Answer:
50%
Step-by-step explanation:
Help plz I will give brainliest
which if the following equations fit this graph?
edward deposited $6,000 into a savings account 4 years ago. the simple interest rate is 3% how much money did edward earn in interest?
(SHOW FULL WORK FOR BRAINLIEST) PLEASE HELP
Answer:
$6000×3%=180 for a month
so for for years
=6000x48×3%=R8 640
Step-by-step explanation:
1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent
formula=Deposit money×Year's×Percent
Is Anyone know the answer????
Answer:
Angle 1 = 40
Step-by-step explanation:
Angle 1 and Angle 2 are alternate angles. So,
2x + 20 = 3x + 10
3x - 2x = 20 - 10
x = 10
Angle 1 = 2x + 20 = 2 x 10 + 20 = 40
For every 9 pounds of blueberries that Joey picks, she
is able to bake 6 blueberry pies. How many pounds of
blueberries does Joey use in each pie?
PLEASE HELP! 20 POINTS!!
Answer:
15
Step-by-step explanation:
In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!
what is the median of 16, 18, 18, 19, 25, 27, 28, 31, 31, and 32.
Answer:
26
Step-by-step explanation:
If the data is in order, the median is the middle value.
If there are two values in the middle, you add them together and divide by 2
So [tex]\frac{25+27}{2} =26[/tex]
A boat is 1000 meters from the base of a cliff. If the angle of depression from the top of the cliff to the boat is 15 degrees, how tall is the cliff? Round your answer to the nearest tenth
9514 1404 393
Answer:
267.9 m
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.
tan(15°) = height/(1000 m)
height = (1000 m)tan(15°)
height ≈ 267.9 m
The cliff is about 267.9 meters tall.
Excuse me brainly, May i have your help..? I will give you the brainiest!
Determine the equation for the line of best fit to represent the data.
scatter plot with points going down from about zero comma 4 to the right to about 7 comma zero
y equals two thirds times x plus 4
y equals negative two thirds times x plus 4
y equals negative three halves times x plus 4
y equals negative two thirds times x minus 4
Which student evaluated the power correctly?
Aida’s Work
5 Superscript 4 = 5 times 5 times 5 times 5 = 625
Hector’s Work
5 Superscript 4 = 5 times 4 = 20
Camila’s Work
5 Superscript 4 = 5 + 5 + 5 + 5 = 20
Juan’s Work
5 Superscript 4 = 5 times 5 times 5 = 125
Answer:
A.
✔ Aida’s Work
Step-by-step explanation:
E 2021
Solve the following inequality for z. Write your answer in simplest form.
3z – 4 > 8z + 2
Answer:
I think question is wrong
Step-by-step explanation:
3z-4>8z+2
3z-4+4>8z+2+4
3z>8z+6
[tex] \frac{3}{3} z > \frac{8z + 6}{3} \\ z > 8z + 2[/tex]
2. The angles of a pentagon are 6x, (2x + 20°),(3x - 20%), 2x and 14x. Find x. Please answer please please
Answer:
x=20
Step-by-step explanation:
In the school chorus,
5
20
of the students are fourth graders.
In simplest form, what fraction of the students in the school chorus are fourth graders?
Answer: 1/6
Step-by-step explanation:
Help please and show the steps
9514 1404 393
Answer:
4096∠0°
Step-by-step explanation:
The polar form of the base value is 2∠120°. Then the 12-th power is ...
(2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish
_____
I prefer the simpler notation r∠θ, rather than ...
r(cos(θ) +i·sin(θ)) or r·cis(θ) or r·e^(iθ)
You might not see this notation very often in areas outside of electrical engineering.
A family buys 6 airline tickets online. The family buys travel insurance that costs $18 per ticket. The total cost is $1,056. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer:
let x represent the number tickets
number of ticket=6
cost of the travelling insurance per ticket =$18
total cost= $1056
(x+x+x+x+x+x+18)= $1,056
6x + 18 = $1,056
One of the legs of a right triangle measures 6 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
18.0 cm
Step-by-step explanation:
[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]
[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]
[tex]hyp^{2} = 325[/tex]
[tex]hyp = 5\sqrt{13}[/tex]
[tex]= 18.028 cm[/tex]
Can you help me answer this question???????
Answer:
3^12
Step-by-step explanation:
Rewrite the sum of 12 + 27 using the GCF and the distributive property I
A total of 255 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? answer ASAP will give brainliest!!!
Answer:
85
Step-by-step explanation:
255 ÷ 3 = 85
85×2= 170 This is how much student tickets were sold.
255 - 170= 85
85 adult tickets were sold.
The sum of two numbers is -25. One number is 101 less than the other. Find the numbers
Answer:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
Answer:
x=38
y= -63
Step-by-step explanation:
x+y=-25
y=x-101
x+(x-101)= -25
2x=-25+101
2x=76
x=76/2
x=38
y=x-101
y=38-101
y= -63