According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below. (c) What is the probability that in a random sample of 300 adults, between 35% and 40% do not own a credit card? The probability is. (Round to four decimal places as needed.) Interpret this probability. to result in between 35% and 40% not owning a credit card. If 100 different random samples of 300 adults were obtained, one would expect (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 300 adults to result in 105 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 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%.

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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Question #25 Part C & D

According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below.
.... .
(c) What is the probability that in a random sample of 300 adults, between 35% and 40% 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 300 adults were obtained, one would expect
to result in between 35% and 40% not owning a credit card.
(Round to the nearest integer as needed.)
(d) Would it be unusual for a random sample of 300 adults to result in 105 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 unusual because the probability that p is less than or equal to the sample proportion is
which is less than 5%.
В.
The result is unusual because the probability that p is less than or equal to the sample proportion is
which is greater than 5%.
С.
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%.
D. 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%.
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 300 adults is obtained. Complete parts (a) through (d) below. .... . (c) What is the probability that in a random sample of 300 adults, between 35% and 40% 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 300 adults were obtained, one would expect to result in between 35% and 40% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 300 adults to result in 105 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 unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. В. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. С. 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%. D. 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%.
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