In a study of the accuracy of fast food drive-through orders, one restaurant had 38 orders that were not accurate among 323 orders observed. Use a 0.01 significanc level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

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In a study of the accuracy of fast food drive-through orders, one restaurant had 38 orders that were not accurate among 323 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable?

Identify the null and alternative hypotheses for this test. Choose the correct answer below.

- A. \( H_0: p = 0.1 \)

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p < 0.1 \)

- B. \( H_0: p = 0.1 \)

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p \neq 0.1 \)

- C. \( H_0: p \neq 0.1 \)

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p = 0.1 \)

- D. \( H_0: p = 0.1 \)

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p > 0.1 \)

Identify the test statistic for this hypothesis test.

The test statistic for this hypothesis test is \(\_\_\_\_\_\_\_\_ \).

(Round to two decimal places as needed.)

Identify the P-value for this hypothesis test.

The P-value for this hypothesis test is \(\_\_\_\_\_\_\_\_ \).

(Round to three decimal places as needed.)

Identify the conclusion for this hypothesis test. 

Click to select your answer(s).
Transcribed Image Text:In a study of the accuracy of fast food drive-through orders, one restaurant had 38 orders that were not accurate among 323 orders observed. Use a 0.01 significance level to test the claim that the rate of inaccurate orders is equal to 10%. Does the accuracy rate appear to be acceptable? Identify the null and alternative hypotheses for this test. Choose the correct answer below. - A. \( H_0: p = 0.1 \) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p < 0.1 \) - B. \( H_0: p = 0.1 \) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p \neq 0.1 \) - C. \( H_0: p \neq 0.1 \) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p = 0.1 \) - D. \( H_0: p = 0.1 \) &nbsp;&nbsp;&nbsp;&nbsp;&nbsp; \( H_1: p > 0.1 \) Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is \(\_\_\_\_\_\_\_\_ \). (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is \(\_\_\_\_\_\_\_\_ \). (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. Click to select your answer(s).
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