According to a survey in a country, 19% of adults do not own a credit card. Suppose a simple random sample of 600 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. Not normal because ns0.05N and np(1-p) < 10 O B. Not normal becausens0.05N and np(1 - p) 2 10 O C. Approximately normal because ns0.05N and np(1 - p) < 10 O D. Approximately normal because ns0.05N and np(1 - p) 2 10 Determine the mean of the sampling distribution of p. HA = (Round to two decimal places as needed.) 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
icon
Related questions
Question

25-

(b) What is the probability that in a random sample of 600 adults, more than 20% do not own a credit card?

The probability is [ ].  
(Round to four decimal places as needed.)

Interpret this probability.

If 100 different random samples of 600 adults were obtained, one would expect [ ] to result in more than 20% not owning a credit card.  
(Round to the nearest integer as needed.)

(c) What is the probability that in a random sample of 600 adults, between 15% and 20% do not own a credit card?

The probability is [ ].  
(Round to four decimal places as needed.)

Interpret this probability.

If 100 different random samples of 600 adults were obtained, one would expect [ ] to result in between 15% and 20% not owning a credit card.  
(Round to the nearest integer as needed.)

(d) Would it be unusual for a random sample of 600 adults to result in 90 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice.
Transcribed Image Text:(b) What is the probability that in a random sample of 600 adults, more than 20% do not own a credit card? The probability is [ ]. (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 600 adults were obtained, one would expect [ ] to result in more than 20% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 600 adults, between 15% and 20% do not own a credit card? The probability is [ ]. (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 600 adults were obtained, one would expect [ ] to result in between 15% and 20% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 600 adults to result in 90 or fewer who do not own a credit card? Why? Select the correct choice below and fill in the answer box to complete your choice.
According to a survey in a country, 19% of adults do not own a credit card. Suppose a simple random sample of 600 adults is obtained. Complete parts (a) through (d) below.

(a) Describe the sampling distribution of \(\widehat{p}\), 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 \(\widehat{p}\) below.

- A. Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\)
- B. Not normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\)
- C. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) < 10\)
- D. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\)

Determine the mean of the sampling distribution of \(\widehat{p}\).

\[\mu_{\widehat{p}} = \,\] [Round to two decimal places as needed.]

Determine the standard deviation of the sampling distribution of \(\widehat{p}\).

\[\sigma_{\widehat{p}} = \,\] [Round to three decimal places as needed.]
Transcribed Image Text:According to a survey in a country, 19% of adults do not own a credit card. Suppose a simple random sample of 600 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of \(\widehat{p}\), 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 \(\widehat{p}\) below. - A. Not normal because \(n \leq 0.05N\) and \(np(1-p) < 10\) - B. Not normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\) - C. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) < 10\) - D. Approximately normal because \(n \leq 0.05N\) and \(np(1-p) \geq 10\) Determine the mean of the sampling distribution of \(\widehat{p}\). \[\mu_{\widehat{p}} = \,\] [Round to two decimal places as needed.] Determine the standard deviation of the sampling distribution of \(\widehat{p}\). \[\sigma_{\widehat{p}} = \,\] [Round to three decimal places as needed.]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman