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(c) What is the probability that in a random sample of 200 adults, between 20% and 25% do not own a credit card? The probability is (Round to four decimal places as needed.)

(c) What is the probability that in a random sample of 200 adults, between 20% and 25% do not own a credit card? The probability is (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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According to a survey in a country, 21% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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) 2 10 VB. Approximately normal because ns0.05N and np(1- p) 2 10 O C. Not normal because ns 0.05N and np(1 - p) < 10 O D. Approximately normal because ns0.05N and np(1-p) < 10 Determine the mean of the sampling distribution of p. Ha = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. On = 0.029 (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 200 adults, more than 25% do not own a credit card? The probability is 0.0838 (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 200 adults were obtained, one would expect 8 to result in more than 25% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 200 adults, between 20% and 25% do not own a credit card? The probability is (Round to four decimal places as needed.)
Transcribed Image Text:According to a survey in a country, 21% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (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) 2 10 VB. Approximately normal because ns0.05N and np(1- p) 2 10 O C. Not normal because ns 0.05N and np(1 - p) < 10 O D. Approximately normal because ns0.05N and np(1-p) < 10 Determine the mean of the sampling distribution of p. Ha = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. On = 0.029 (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 200 adults, more than 25% do not own a credit card? The probability is 0.0838 (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 200 adults were obtained, one would expect 8 to result in more than 25% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 200 adults, between 20% and 25% do not own a credit card? The probability is (Round to four decimal places as needed.)
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