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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). = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. GA = 0.029 (Round to three decimal piaces 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 0.5493 (Round to four decimal places as needed.) Interpret this probability. If 100 different random (Round to the nearest integer as needed.) of 200 adults were obtained, would expect 55 to result in between 20% and 25% not owning a credit card. (d) Would it be unusual for a random sample of 200 adults to result in 40 or fewer who do not own (Round to four decimal places as needed.) credit card? Why? Select the correct choice below and fill in the answer box to complete your choice. O A. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. O C. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O D. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.

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). = 0.21 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. GA = 0.029 (Round to three decimal piaces 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 0.5493 (Round to four decimal places as needed.) Interpret this probability. If 100 different random (Round to the nearest integer as needed.) of 200 adults were obtained, would expect 55 to result in between 20% and 25% not owning a credit card. (d) Would it be unusual for a random sample of 200 adults to result in 40 or fewer who do not own (Round to four decimal places as needed.) credit card? Why? Select the correct choice below and fill in the answer box to complete your choice. O A. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. O C. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O D. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.

MATLAB: An Introduction with Applications
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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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). 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 0.5493 (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 200 adults were obtained, one would expect 55 to result in between 20% and 25% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 200 adults to result in 40 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. (Round to four decimal places as needed.) O A. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. O C. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O D. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.
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). 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 0.5493 (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 200 adults were obtained, one would expect 55 to result in between 20% and 25% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 200 adults to result in 40 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. (Round to four decimal places as needed.) O A. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O B. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. O C. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. O D. The result is not unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%.
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