In a study of the accuracy of fast food​ drive-through orders, one restaurant had 38 orders that were not accurate among 322 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. Identify the test statistic for this hypothesis test. Identify the​ P-value for this hypothesis test. Identify the conclusion for this hypothesis test.

MATLAB: An Introduction with Applications
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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 322 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.

Identify the test statistic for this hypothesis test.

Identify the​ P-value for this hypothesis test.

Identify the conclusion for this hypothesis test.

Expert Solution
Step 1

Given,

Statistics homework question answer, step 1, image 1

The sample proportion is,

Statistics homework question answer, step 1, image 2

Step 2

The null and alternative hypothesis is:

Statistics homework question answer, step 2, image 1

Calculate test statistic:

Under the null hypothesis, the test statistic for one sample proportion is,

Statistics homework question answer, step 2, image 2

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