According to a survey in a country, 38% of adults do not own a credit card Suppose a simple random sample of 500 adults is obtained. Complete parts (a) through (d) below. (a) Describe the sampling distribution of 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 OA. Approximately normal because n ≤0.05N and np(1-p) < 10 B. Not normal because n ≤0.05N and np(1-p) < 10 C. Approximately normal because n≤0.05N and np(1-p) ²10 OD. Not normal because n≤0.05N and np(1-p) > 10 Determine the mean of the sampling distribution of p. 38 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p 0 022 (Round to three decimal places as needed.) Р (b) What is the probability that in a random sample of 500 adults, more than 42% do not own a credit card? The probability is 0344 (Round to four decimal places as needed.) Interpret this probability If 100 different random samples of 500 adults were obtained, one would expect 3 to result in more than 42% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 500 adults, between 35% and 42% do not own a credit card? FEDD The probability is (Round to four decimal places as needed.).