Better Business Bureau conducted survey of 3,765 randomly selected residents of Laradise and found that 60% of them feel the businesses in Laradise, are run by compliant individuals. Find the best point estimate of the proportion of all residents of Laradise who believe businesses are run by compliant individuals.

a. In the prompt above what population parameter are you being asked about?

i. Proportion
ii. Mean
iii. Standard Deviation/Variance
iv. None of the above

b. What is the best point estimate?
c. What is the critical value (zα/2) or (tα/2) that corresponds to a confidence level of 99%?
d. Find the margin of error E, show the formula, fill in the pieces.
e. Construct the 99% confidence interval.

Answers

Answer 1

Answer:

a

 i. Proportion

b

 Best point estimate is   [tex]\^ p = 0.60[/tex]

c

   [tex]z_{\frac{\alpha }{2} } =  2.58 [/tex]

d

   [tex]E =  0.0206 [/tex]

e

   [tex] 0.5794 <  p < 0.6206 [/tex]    

Step-by-step explanation:

From the question we are told that

   The sample size is  n = 3765

   The  proportion that feel the businesses in Laradise, are run by compliant individuals  is  [tex]\^ p = 0.60[/tex]

Considering question a

   The correct option is  Proportion  because in the prompt we are told to obtain the fraction of the total sample size that has a particular attribute (which their opinion of business in Laradise) and this is what a proportion represents

Considering question b

  The best point estimate is   [tex]\^ p = 0.60[/tex] because this proportion best defines the fraction of the sample size who feel the businesses in Laradise, are run by compliant individuals

Considering question c

  Generally given that the sample size is large enough n > 30 , it then means that the distribution is approximately normal  so  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]z_{\frac{\alpha }{2} } =  2.58 [/tex]

Considering question d

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>  [tex]E =  2.58 * \sqrt{\frac{ 0.60  (1- 0.60 )}{ 3765} } [/tex]

=>  [tex]E =  0.0206 [/tex]      

Considering question e

Generally 99% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>   [tex] 0.60  -0.0206 <  p < 0.60  + 0.0206[/tex]    

=>   [tex] 0.5794 <  p < 0.6206 [/tex]    


Related Questions

Solve each problem.
a. What is -4.3 - (-6.8)?
b. What is
is 13 + (-210?
noints lose anothe

Answers

The answer is A
Hope this help!
A-2.5
B:-197
Merry Christmas

If each square in the grid has a side length of 8mm, what is the length and width of the rectangle?

PS: I NEED IT RIGHT NOW

Answers

Answer:the explanation hopes this helps!!!

Step-by-step explanation:

The question required attachment; however, follow the following steps to answer your question.

See Attachment

Considering the horizontal plane of the gird.

Count the number of the squares in that plane;

This gives 4

Multiply 4 by length of each side of a square;

Select the correct answer. A sound wave enters a new medium where sound travels faster. How does this affect the frequency and wavelength of the sound? A. The frequency increases and the wavelength decreases. B. The frequency decreases and the wavelength increases. C. The frequency stays the same and the wavelength increases. D. The frequency stays the same and the wavelength decreases. E. Neither the frequency nor the wavelength is affected.

Answers

Answer:

The correct answer is E. Neither the frequency nor the wavelength is affected. Explanation: The wave frequency does not affect the speed of that wave. An increase in frequency of a wave causes a decrease in wavelength while the wave speed remains the constant. The speed of the waves is significantly higher at higher tensions.

Step-by-step explanation:

A pair jeans on sale for 20% off the sale price is $55 what is the original amount of the pair of jeans

Answers

Answer:

$66

Step-by-step explanation:

Answer:

the original price of the jeans

The price is 66+

Step-by-step explanation:

Find 20% of the jeans (11$) then add that 11$ to the price of the jeans.  final answer: $66

PLS GIVE ME BRAINLIEST AND A GOOD RATING :) glad to help

If you are driving 30 miles per hour, how far will you go in 5 hours? To solve this problem, all you need to do is multiply your rate by 5. Remember to multiply both the numerator and denominator by the same number.

30 miles/1 hour × 5/5 = 150 miles/5 hours.

You will drive 150 miles in 5 hours. Don’t forget to label your answer with the correct units!

Clarence is skateboarding down the street. He estimates that a skateboard wheel goes around 20 times in 1 minute. About how many times will his wheels rotate in 5 minutes?

Answers

Answer:

100

Step-by-step explanation:

20 times = 1 minute

x times. = 5 minutes

1 x 5 =5

20 x 5 = X

20 x 5 = 100

Answer:

1 minute = 20 wheel spins x 5 = 1oo wheelspins


I think of a number multiply by 2 then subtract 9​

Answers

Answer:

-3

Step-by-step explanation:

I thought of the number 3

I multiplied it by 2

6

Then I subtracted 9

-3

:)

A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?

Answers

Answer:

The D cells are worth $2.20, and the C cells are worth $1.90.

Step-by-step explanation:

This can be written as:

4x + 2y = 12.60

6x + 4y =20.80

Our goal is to find one variable, then use that information to find the other.

If we multiply the top function by -1.5, we get:

-6x - 3y = -18.90

We can add this to the previous equation.

  -6x - 3y = -18.90

+ 6x + 4y = 20.80

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

             y = 1.90

The C cells are worth $1.90.

Plug this value into one of the other equations and solve for x.

4x + 2y = 12.60  

4x + 2(1.90) = 12.60

4x + 3.80 = 12.60  

4x = 8.80

x = 2.20

The D cells are worth $2.20.

Check these values in the other equation.

6x + 4y = 20.80

6(2.20) + 4(1.90) = 20.80

13.20 + 7.60 = 20.80

20.80 = 20.80

Answer:

  C = $1.90 each

  D = $2.20 each

Step-by-step explanation:

Given:

  Power pack A:   4D + 2C = 12.60

  Power pack B:   6D + 4C = 20.80

Isolate any one variable:

  4D + 2C = 12.60

  4D = 12.60 - 2C

  D = 3.15 - 0.5C

Substitution to find cost of C cell battery:

  6D + 4C = 20.80

  6(3.15 - 0.5C) + 4C = 20.80

  18.9 - 3C + 4C = 20.80

  18.9 + C = 20.80

  C = 1.90

Substitution to find cost of D cell battery:

  4D + 2C = 12.60

  4D + 2(1.90) = 12.60

  4D + 3.8 = 12.60

  4D = 8.8

  D = 2.20

Solve for x in the equation x^2-10x+25= 35

Answers

The answer is in the SS below with the steps

Answer:

option B

Step-by-step explanation:

the person above me is correct. i got 100% on the quiz

A company paid $ 391 for 15 bushes and 8 bonsai trees . They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 . What is the cost of each bush and bonsai tree ? the boxes below .

Answers

Answer:

Cost of one bush = x = $9

Cost of one bonsai tree = y = $32

Step-by-step explanation:

Let Cost of one bush = x

Cost of one bonsai tree = y

From the expression: A company paid $ 391 for 15 bushes and 8 bonsai trees

We made equation: [tex]15x+8y=391[/tex]

and From the expression: They had to purchase 9 more bushes and 5 more bonsai trees for $ 241 , we made equation: [tex]9x+5y=241[/tex]

Solving both equations simultaneously we can find value of x and y

Let:

[tex]15x+8y=391--eq(1)\\9x+5y=241--eq(2)[/tex]

We will use elimination method to solve these equations.

Multiply eq(1) by 5 and eq(2) by 8 and subtract

[tex]75x+49y=1955\\72x+40y=1928\\- \ \ \ - \ \ \ \ \ \ \ -\\--------\\3x=27\\x=\frac{27}{3}\\x=9[/tex]

So, value of x=9

Now finding value of y by putting value of x in equation 1

[tex]15x+8y=391\\Put \ x=9\\15(9)+8y=391\\135+8y=391\\8y=391-135\\8y=256\\y=\frac{256}{8}\\y=32[/tex]

So, value of y=32

Cost of one bush = x = $9

Cost of one bonsai tree = y = $32

Angel's Door Dash order was $28.00.
He wants to leave the driver a 15%
tip. How much did Angel pay, including
tip?

Answers

Answer: 23.80

Step-by-step explanation:

Answer:

4 dollars and 2 cents

Step-by-step explanation:

If I have 3 basketball cards for every 6 baseball cards, then what is the ratio?

Answers

Answer:

3 to 6  3:6  3/6

Answer:

the ratio would be 3:6, or 1:2

Step-by-step explanation:

i got that by dividing 3, by 3, to get 1, and dividing 6 by 3, to get 2

so the ratio of basket ball cards to baseball cards is 1:2,

hope this helps

The length of a rectangular garden is 5 meters long. The area of the garden is 10 square meters.
Which equation correctly relates the given information and the width, www?

Answers

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Answer:

length=5 meters

area=10meters squared

area=length times width

10=L*W

10=5L

Length=2meters

Step-by-step explanation:

What number makes this set not a function?
(-1,7) (1,7) (2,7) (-1,7)

-1
1
2
7

Answers

7 because 7 is the most common number
Answer: it’s 7
Explanation: 7 is the most common number

what is the realashionship between ceels and tissues

Answers

The relationship ship between cells and tissues is that a group of SIMILAR cells form a tissue so tissues consist of cells




That’s the similarity


Thank :)

range of 9, 27, 7,11, 13,21,5, and 14

Answers

89 − 5 =84

Answer:

84

Answer:

I got 18

Please correct me If I am wrong thxs.

Step-by-step explanation:

You subtact the high number to a low number

In this case 27 is the highest and lowest is 9

What is 8688 divided by 24 ?

Answers

Answer:

362

Step-by-step explanation:

Answer:

362

Step-by-step explanation:

The graph models the value of an automobile over a 7 year period of time.
Which equation best represents the relationship between x, the age of the automobile in years, and y, the value of the automobile in dollars​

Answers

Answer:

y=-500x+22,000

Step-by-step explanation:

It's this one because the 22,000 shows the initial value of the automobile and -500x is how much value the automobile loses per year.

Answer:

Y = mx + c

C = 22,000

But slope is unknown

Y= mx + 22000

Given this recursive rule : a^n=a^n-1 +6 where your a^1 =-13 . Find the next 4 terms in this sequence. Show your work to plzzzzzz help idk this I’m terrible at math...thx

Answers

Answer:

I think its c But i may be wrong

Step-by-step explanation:

33 + 19 - 11 + 26t2 - +2

Answers

33+19 -11 + 26t X 2 - 2 =52t + 39.

Which value of y makes the inequality 3y^2 +2(y-5)>8 true?

Answers

Answer: D

Step-by-step explanation:

A) 3*0^2+2(0-5)>8

-10>8 -> not true

B) 3*(-1)^2+2(-1-5)>8

3*1+2*(-6)>8

3- 12>8

-9> 8 -> not true

C) 3*(-2)^2+2(-2-5)>8

3*4+2*(-7)>8

12-14>8

-2> 8 -> not true

D) ) 3*(-3)^2+2(-3-5)>8

3*9+2*(-8)>8

27-16>8

11> 8 -> true

Solve for N
2/9n= −6

Answers

Answer:

n=-27

Step-by-step explanation:

Step-By-Step on how to solve it is in the image shown below.

Hope this helps! :)

Help please!!

10. A garden has an area of 400 m².
The garden is divided into 16 congruent square plots.
What is the side length of each plot?

Answers

Answer:

Step-by-step explanation:

if the garden is a square, then it each side of the garden would be 20. if there's 16 congruent square plots, it means 4 sides of a plot per side of the garden, meaning that the side length of the plot would be 5 meters

The answer is 25 I know it

Do you like dough nuts or not I am just doing a survey

Answers

Answer:

nes

Step-by-step explanation:

Answer:

OFCOURSE

Step-by-step explanation:

PLs give brainlist mean the world

have a good day

A band is playing at an auditorium with floor seats and balcony seats. The band wants to sell the floor tickets for $15 each and balcony tickets for $12 each. They want to make at least $3,000 in ticket sales.

Answers

what i got -

15x + 12y ≥ 3000

how i got it -

Number of floor seats tickets sold = x

Number of balcony seats tickets sold = y

Cost of floor tickets = $15

Cost of balcony tickets = $12

They want to make at least $3,000 in ticket sales.

At least in inequality means ≥

The inequality that represent the situation is  15x + 12y ≥ 3000

PLEASE DON'T STEAL POINTS! the question gets marked as answered and ppl that actually can answer can't see it.


A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?

Answers

Answer:

The  bird flies  35 degrees north for about 3 to 4 miles

Answer:

Step-by-step explanation:

tan35 = x/2

tan35(2) = .9476 miles, due northeast.

you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.

Kareem but a new collar and a toy mouse for his cat. The collar cost $3.50, the toy mouse cost $2.70, and the tax was 5% how much change did Kareem get from a $10 bill?

Answers

Answer:

Kareem will get $3.49 in change from a $10 bill.

Step-by-step explanation:

3.50 + 2.70= 6.20

6.2 x .05= .31

6.20 + .31= 6.51

10.00 - 6.51= 3.49

$3.49

whats the factor of this expression?
10x + 40y?

Answers

Answer:

10(x + 4y)

Step-by-step explanation:

factor of 10x + 40y

10(x + 4y)

Answer:

10(x + 4y)

Step-by-step explanation:

what is the slope of the line that passes through the points (26, 7) and (-39, 12)​

Answers

(12-7)/(-39-26) = 5/-65 = 1/-13
A is the correct response

Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest

Answers

5 3/5, 27/5, 33/6 , hope I helped lmk if I got it right

If you have a 59% in your class, and you take a test that is worth 200 points and it is 25% of your grade, and you get all 200 points, what does that bring your grade up to?

Answers

Answer:

84 percent I think

Step-by-step explanation:

Answer:

74%

Step-by-step explanation:

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