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 B. Not normal because n ≤0.05N and np(1-p) < 10 C. Approximately normal because n≤0.05N and np(1-p) ²10 OD. 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.) Determine the standard deviation of the sampling distribution of p 0 022 (Round to three decimal places as needed.) Р (b) What is the probability that in a random sample of 500 adults, more than 42% do not own a credit card? The probability is 0344 (Round to four decimal places as needed.) Interpret this probability If 100 different random samples of 500 adults were obtained, one would expect 3 to result in more than 42% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 500 adults, between 35% and 42% do not own a credit card? FEDD The probability is (Round to four 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 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 B. Not normal because n ≤0.05N and np(1-p) < 10 C. Approximately normal because n≤0.05N and np(1-p) ²10 OD. 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.) Determine the standard deviation of the sampling distribution of p 0 022 (Round to three decimal places as needed.) Р (b) What is the probability that in a random sample of 500 adults, more than 42% do not own a credit card? The probability is 0344 (Round to four decimal places as needed.) Interpret this probability If 100 different random samples of 500 adults were obtained, one would expect 3 to result in more than 42% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 500 adults, between 35% and 42% do not own a credit card? FEDD The probability is (Round to four 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
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Solve for c
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.
TOA. 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.
HA38 (Round to two decimal places as needed.)
P
Determine the standard deviation of the sampling distribution of p.
0 022 (Round to three decimal places as needed.)
Р
(b) What is the probability that in a random sample of 500 adults, more than 42% do not own a credit card?
The probability is .0344
(Round to four decimal places as needed.)
Interpret this probability.
4
If 100 different random samples of 500 adults were obtained, one would expect 3 to result in more than 42% not owning a credit card.
(Round to the nearest integer as needed.)
(c) What is the probability that in a random sample of 500 adults, between 35% and 42% do not own a credit card?
OD
The probability is ☐
(Round to four decimal places as needed.)
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