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According to a survey in a​ country, 39 ​% of adults do not own a credit...

According to a survey in a​ country, 39 ​% of adults do not own a credit card. Suppose a simple random sample of 200 adults is obtained. Complete parts​ (a) through​ (d) below.

(a) Describe the sampling distribution p the sample proportion of adults who do not own a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below.

Determine the mean of the sampling distribution of

Determine the standard deviation of the sampling distribution of

(b) What is the probability that in a random sample of 200 ​adults, more than 42​% do not own a credit​ card?

Interpret this probability.

(c) What is the probability that in a random sample of 200 adults, between 37​% and 42​% do not own a credit​ card?

d) Would it be unusual for a random sample of 200 adults to result in 74 or fewer who do not own a credit​ card? Why?

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