According to a survey in a country, 27% of adults do not own a credit card. Suppose a simple random sample of 600 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) If 100 different random samples of 600 adults were obtained, one would expect (Round to the nearest integer as needed.) to result in more than 30% not owning a credit card. (c) What is the probability that in a random sample of 600 adults, between 25% and 30% do not own a credit card? The probability is (Round to four decimal places as needed.) Interpret this probability. 100 different random samples of 600 adults were obtained, one would expect to result in between 25% and 30% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 600 adults to result in 150 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.) A. The result is unusual because the probability that p is less than or equal to the sample proportion is B. The result is not unusual because the probability that p is less than or equal to the sample proportion is OC. The result is not unusual because the probability that p is less than or equal to the sample proportion is OD. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. , which is less than 5%. , which is greater than 5%. which is greater than 5%.
According to a survey in a country, 27% of adults do not own a credit card. Suppose a simple random sample of 600 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) If 100 different random samples of 600 adults were obtained, one would expect (Round to the nearest integer as needed.) to result in more than 30% not owning a credit card. (c) What is the probability that in a random sample of 600 adults, between 25% and 30% do not own a credit card? The probability is (Round to four decimal places as needed.) Interpret this probability. 100 different random samples of 600 adults were obtained, one would expect to result in between 25% and 30% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 600 adults to result in 150 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.) A. The result is unusual because the probability that p is less than or equal to the sample proportion is B. The result is not unusual because the probability that p is less than or equal to the sample proportion is OC. The result is not unusual because the probability that p is less than or equal to the sample proportion is OD. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. , which is less than 5%. , which is greater than 5%. which is greater than 5%.
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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Transcribed Image Text:According to a survey in a country, 27% of adults do not own a credit card. Suppose a simple random sample of 600 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)
If 100 different random samples of 600 adults were obtained, one would expect
(Round to the nearest integer as needed.)
to result in more than 30% not owning a credit card.
(c) What is the probability that in a random sample of 600 adults, between 25% and 30% do not own a credit card?
The probability is
(Round to four decimal places as needed.)
Interpret this probability.
100 different random samples of 600 adults were obtained, one would expect to result in between 25% and 30% not owning a credit card.
(Round to the nearest integer as needed.)
(d) Would it be unusual for a random sample of 600 adults to result in 150 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.)
A. The result is unusual because the probability that p is less than or equal to the sample proportion is
B. The result is not unusual because the probability that p is less than or equal to the sample proportion is
OC. The result is not unusual because the probability that p is less than or equal to the sample proportion is
OD. The result is unusual because the probability that p is less than or equal to the sample proportion is
which is less than 5%.
, which is less than 5%.
, which is greater than 5%.
which is greater than 5%.
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