According to a survey in a country, 26% of adults do not own a credit card. Suppose a simple random sample of 800 adults is obtained. Complete parts (a) through (d) below. Determine the mean of the sampling distribution of p. HA=0.26 (Round to two decimal places as needed.) D Determine the standard deviation of the sampling distribution of p. GA= 0.016 (Round to three decimal places as needed.) p (b) What is the probability that in a random sample of 800 adults, more than 28% do not own a credit card? The probability is 0. (Round to four decimal places as needed.) Interpret this probability. If 100 different random samples of 800 adults were obtained, one would expect to result in more than 28% 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 23% and 28% 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 800 adults were obtained, one would expect to result in between 23% and 28% 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 184 or fewer who do not own. 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.) OA. The result is not unusual because the probability that p is less than or equal to the sample proportion is OB. The result is unusual because the probability that p is less than or equal to the sample proportion is ⒸC. The result is not unusual because the probability that p is less than or equal to the sample proportion OD. The result is unusual because the probability that p is less than or equal to the sample proportion is which is less than 5%. which is greater than 5%. is, which is greater than 5%. which is less than 5%.

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Question 2. B, C, & D?
According to a survey in a country, 26% of adults do not own a credit card. Suppose a simple random sample of 800 adults is obtained. Complete parts (a) through (d) below: 

### (a) Determine the mean of the sampling distribution of p.

\[
\mu_{\hat{p}} = 0.26 \quad \text{(Round to two decimal places as needed.)}
\]

Determine the standard deviation of the sampling distribution of p.

\[
\sigma_{\hat{p}} = 0.016 \quad \text{(Round to three decimal places as needed.)}
\]

### (b) What is the probability that in a random sample of 800 adults, more than 28% do not own a credit card?

The probability is \(\square\).
*(Round to four decimal places as needed.)*

**Interpret this probability:**

If 100 different random samples of 800 adults were obtained, one would expect \(\square\) to result in more than 28% 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 23% and 28% do not own a credit card?

The probability is \(\square\).
*(Round to four decimal places as needed.)*

**Interpret this probability:**

If 100 different random samples of 800 adults were obtained, one would expect \(\square\) to result in between 23% and 28% 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 184 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.

- **A.** The result is not unusual because the probability that \(\hat{p}\) is less than or equal to the sample proportion is \(\square\), 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 \(\square\), 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
Transcribed Image Text:According to a survey in a country, 26% of adults do not own a credit card. Suppose a simple random sample of 800 adults is obtained. Complete parts (a) through (d) below: ### (a) Determine the mean of the sampling distribution of p. \[ \mu_{\hat{p}} = 0.26 \quad \text{(Round to two decimal places as needed.)} \] Determine the standard deviation of the sampling distribution of p. \[ \sigma_{\hat{p}} = 0.016 \quad \text{(Round to three decimal places as needed.)} \] ### (b) What is the probability that in a random sample of 800 adults, more than 28% do not own a credit card? The probability is \(\square\). *(Round to four decimal places as needed.)* **Interpret this probability:** If 100 different random samples of 800 adults were obtained, one would expect \(\square\) to result in more than 28% 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 23% and 28% do not own a credit card? The probability is \(\square\). *(Round to four decimal places as needed.)* **Interpret this probability:** If 100 different random samples of 800 adults were obtained, one would expect \(\square\) to result in between 23% and 28% 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 184 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. - **A.** The result is not unusual because the probability that \(\hat{p}\) is less than or equal to the sample proportion is \(\square\), 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 \(\square\), 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
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