According to a survey in a country, 34% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. (b) What is the probability that in a random sample of 400 adults, more than 36% 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 400 adults were obtained, one would expect to result in more than 36% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 400 adults, between 31% and 36% 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 400 adults were obtained, one would expect to result in between 31% and 36% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 400 adults to result in 124 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.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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According to a survey in a country, 34% of adults do not own a credit card. Suppose a simple random sample of 400
adults is obtained. Complete parts (a) through (d) below.
(b) What is the probability that in a random sample of 400 adults, more than 36% 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 400 adults were obtained, one would expect to result in more than 36% not
owning a credit card.
(Round to the nearest integer as needed.)
(c) What is the probability that in a random sample of 400 adults, between 31% and 36% 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 400 adults were obtained, one would expect to result in between 31% and 36%
not owning a credit card.
(Round to the nearest integer as needed.)
(d) Would it be unusual for a random sample of 400 adults to result in 124 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.)
Transcribed Image Text:According to a survey in a country, 34% of adults do not own a credit card. Suppose a simple random sample of 400 adults is obtained. Complete parts (a) through (d) below. (b) What is the probability that in a random sample of 400 adults, more than 36% 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 400 adults were obtained, one would expect to result in more than 36% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 400 adults, between 31% and 36% 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 400 adults were obtained, one would expect to result in between 31% and 36% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 400 adults to result in 124 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.)
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