According to a survey in a country, 31% of adults do not own a credit card. Suppose a simple random sample of 800 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). (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. O A. Not normal because ns 0.05N and np(1 - p) < 10 OB. Approximately normal because ns 0.05N and np(1 - p) 2 10 OC. Not normal because ns 0.05N and np(1 - p) 2 10 O D. Approximately normal because ns 0.05N and np(1 - p) < 10 Determine the mean of the sampling distribution of p. Hn=0.31 (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. = 0.016 (Round to three decimal places as needed.) (b) What is the probability that in a random sample of 800 adults, more than 34% do not own a credit card? The probability is 0.0304 Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 800 adults were obtained, one would expect 0.2582 to result in more than 34% not owning a credit card. (Round to the nearest integer as needed.) (c) What is the probability that in a random sample of 800 adults, between 29% and 34% do not own a credit card? The probability is 0.8639 (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 800 adults were obtained, one would expect 0.4089 to result in between 29% and 34% not owning a credit card. Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 800 adults to result in 232 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 not 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 less than 5%. O C. The result is unusual because the probability that p is less than or equal to the sample proportion is which is greater than 5%. O D. 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%.

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