Question

According to a survey in a​ country, 24​% 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 28% do not own a credit card?

Interpret this probability:

If 100 different random samples of 400 adults were​ obtained, one would expect ___ to result in more than 28​%

not owning a credit card.

c) what is the probability that in a random sample of 400 adults, between 23% and 28% do not own a credit card?

The probability is ____

d) Would it be unusual for a random sample of 400 adults to result in 92 or fewer who do not own a credit card? Why? Select the correct choice and fill in the answer box to complete your choice.

A. The result is unusual bc the probability that p hat is less than or equal to the sample proportion is ____ which is less than 5%

B. The result is not unusual because the probability that p hat is less than or equal to the sample proportion is _____

which is greater than​ 5%.

C. The result is unusual bc the probability that p hat is less than or equal to the sample proportion is ___ which is greater than 5%.

D. The result is not unusual bc the probability that p hat is less than or equal to the sample proportion is ___ which is less than 5%.

***IF ANYONE KNOWS HOW TO DO PART D IN STAT CRUNCH USING THE NORMAL CALCULATOR, I WOULD BE FOREVER GRATEFUL!!! ****

Answer 1

b) what is the probability that in a random sample of 400 adults, more than 28% do not own a credit card?

Probability = 0.0305

Interpret this probability:

If 100 different random samples of 400 adults were​ obtained, one would expect 3 to result in more than 28​% not owning a credit card.

c) what is the probability that in a random sample of 400 adults, between 23% and 28% do not own a credit card?

Probability = 0.6497

d) Would it be unusual for a random sample of 400 adults to result in 92 or fewer who do not own a credit card? Why? Select the correct choice and fill in the answer box to complete your choice.

B. The result is not unusual because the probability that p hat is less than or equal to the sample proportion is 0.3198 which is greater than​ 5%.