According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below. (c) What is the probability that in a random sample of 300 adults, between 35% and 40% do not own a credit card? The probability is. (Round to four decimal places as needed.) Interpret this probability. to result in between 35% and 40% not owning a credit card. If 100 different random samples of 300 adults were obtained, one would expect (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 300 adults to result in 105 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 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 greater than 5%.

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Question #25 Part C & D

According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below.

(c) What is the probability that in a random sample of 300 adults, between 35% and 40% do not own a credit card?

The probability is [ ].  
(Round to four decimal places as needed.)

Interpret this probability.

If 100 different random samples of 300 adults were obtained, one would expect [ ] to result in between 35% and 40% not owning a credit card.  
(Round to the nearest integer as needed.)

(d) Would it be unusual for a random sample of 300 adults to result in 105 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 \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is less than 5%.

- B. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is greater than 5%.

- C. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is greater than 5%.

- D. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is less than 5%.
Transcribed Image Text:According to a survey in a country, 38% of adults do not own a credit card. Suppose a simple random sample of 300 adults is obtained. Complete parts (a) through (d) below. (c) What is the probability that in a random sample of 300 adults, between 35% and 40% do not own a credit card? The probability is [ ]. (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 300 adults were obtained, one would expect [ ] to result in between 35% and 40% not owning a credit card. (Round to the nearest integer as needed.) (d) Would it be unusual for a random sample of 300 adults to result in 105 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 \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is less than 5%. - B. The result is unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is greater than 5%. - C. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is greater than 5%. - D. The result is not unusual because the probability that \( \hat{p} \) is less than or equal to the sample proportion is [ ], which is less than 5%.
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