1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mariarad [96]
2 years ago
9

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon

they'd received in the mail. A 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694)
Required:
Construct a 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail.
Mathematics
1 answer:
fiasKO [112]2 years ago
8 0

Answer:

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon they'd received in the mail.

This means that n = 603, \pi = \frac{142}{603} = 0.2355

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 - 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2016

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2355 + 1.96\sqrt{\frac{0.2355*0.7645}{603}} = 0.2694

The 95% confidence interval for the fraction of all shoppers during the year whose visit was because of a coupon they'd received in the mail is (0.2016, 0.2694).

You might be interested in
What is the solution to the system of equations?<br> y = 1/3x-10<br> 2x + y = 4
ladessa [460]
Answer: x = 6, y = -8
5 0
2 years ago
Read 2 more answers
HELP!!!<br> Describe the shape of the data distribution
Natalija [7]
The data distribution is positively skewed

8 0
3 years ago
Simplify 9x - 4 + 3x
rewona [7]

Answer:

4(3x - 1)

Step-by-step explanation:

9x - 4 + 3x

Adding 9x & 3x gives 12x.

=  > 12x - 4

Now taking 4 common from both the terms , we get :-

4(3x - 1)

3 0
3 years ago
What property is shown by the equation?
Tom [10]
E. negative one property of multiplication.
3 0
3 years ago
Find the other endpoint of the line segment if:
Vesna [10]

Answer:

<em>( - 15, - 16 ) </em>

Step-by-step explanation:

Coordinates of midpoint are ( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

( - 5 + x ) / 2 = - 10 ⇒ x = - 15

( 4 + y ) / 2 = - 6 ⇒ y = - 16

<em>( - 15, - 16 )</em>

5 0
2 years ago
Other questions:
  • PLEASE HELPPPPP
    15·1 answer
  • Rachel used 2/3 of a string to tie some books together. She used 1/3 of the remaining string for his art project. She had 30cm o
    9·2 answers
  • Seth purchased a printer for 350 the price of the printer that jose purchased was 4/5 the price that seth paid How much did hose
    14·1 answer
  • Angle BDC measures 42°. What is the measure of angle BAC
    12·1 answer
  • Is this a one solution, no solution or infinit solution y=2x -1
    7·2 answers
  • What is 0.212121 written as a fraction?
    8·2 answers
  • The velocity of a turtle is recorded at 1 minute intervals (in meters per second). Use the right-endpoint approximation to estim
    11·1 answer
  • Please help with this problem
    5·1 answer
  • Create a graph of the combined function h(x) = f(x) / g(x) in which f(x) = x - 6 and g(x) = x + 6. On your graph, show the graph
    13·1 answer
  • Hi can some one please help me with question b please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!