According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below. ..... (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Approximately normal because ns0.05N and np(1 - p) < 10 O B. Not normal because n s0.05N and np(1 - p) < 10 OC. Not normal because n s0.05N and np(1-p)2 10 O D. Approximately normal because ns0.05N and np(1 -p) 2 10 Determine the mean of the sampling distribution of p. (Round to two decimal places as needed.) d. Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below. ..... (a) Describe the sampling distribution of p, the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Approximately normal because ns0.05N and np(1 - p) < 10 O B. Not normal because n s0.05N and np(1 - p) < 10 OC. Not normal because n s0.05N and np(1-p)2 10 O D. Approximately normal because ns0.05N and np(1 -p) 2 10 Determine the mean of the sampling distribution of p. (Round to two decimal places as needed.) d. Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Question #25 Part A
![According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below.
(a) Describe the sampling distribution of \(\hat{p}\), the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below.
- A. Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\)
- B. Not normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\)
- C. Not normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\)
- D. Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\)
Determine the mean of the sampling distribution of \(\hat{p}\).
\[
\mu_{\hat{p}} = \_\_\_ \text{ (Round to two decimal places as needed.)}
\]
Determine the standard deviation of the sampling distribution of \(\hat{p}\).
\[
\sigma_{\hat{p}} = \_\_\_ \text{ (Round to three decimal places as needed.)}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77f69c35-8558-4881-b631-6923950412ef%2F86661c49-107f-4ec7-a17c-dee1e18738c4%2Fd1hg2q6_processed.png&w=3840&q=75)
Transcribed Image Text:According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below.
(a) Describe the sampling distribution of \(\hat{p}\), the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of \(\hat{p}\) below.
- A. Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\)
- B. Not normal because \(n \leq 0.05N\) and \(np(1 - p) < 10\)
- C. Not normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\)
- D. Approximately normal because \(n \leq 0.05N\) and \(np(1 - p) \geq 10\)
Determine the mean of the sampling distribution of \(\hat{p}\).
\[
\mu_{\hat{p}} = \_\_\_ \text{ (Round to two decimal places as needed.)}
\]
Determine the standard deviation of the sampling distribution of \(\hat{p}\).
\[
\sigma_{\hat{p}} = \_\_\_ \text{ (Round to three decimal places as needed.)}
\]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman