According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 500 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 OA. Approximately normal because n≤0.05N and np(1-p) < 10 OB. Not normal because n≤ 0.05N and np(1-p) < 10 c. Approximately normal because n ≤0.05N and np(1-p) ≥ 10 OD. Not normal because n ≤0.05N and np(1-p) ≥ 10. Determine the mean of the sampling distribution of p. HA= 38 (Round to two decimal places as needed.) p Determine the standard deviation of the sampling distribution of p D (Round to three decimal places as needed.) p

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Question
According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 500 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.
A. Approximately normal because n ≤0.05N and np(1-p) < 10
B. Not normal because n ≤0.05N and np(1-p) < 10
C. Approximately normal because n ≤0.05N and np(1-p) 2 10
D. Not normal because n ≤0.05N and np(1-p) ≥ 10
Determine the mean of the sampling distribution of p
38 (Round to two decimal places as needed.)
H^ =
Р
Determine the standard deviation of the sampling distribution of p
4
(Round to three decimal places as needed.)
GA =
Р
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 500 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. A. Approximately normal because n ≤0.05N and np(1-p) < 10 B. Not normal because n ≤0.05N and np(1-p) < 10 C. Approximately normal because n ≤0.05N and np(1-p) 2 10 D. Not normal because n ≤0.05N and np(1-p) ≥ 10 Determine the mean of the sampling distribution of p 38 (Round to two decimal places as needed.) H^ = Р Determine the standard deviation of the sampling distribution of p 4 (Round to three decimal places as needed.) GA = Р
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