In a study of the accuracy of fast food drive-through orders, one restaurant had 3838 orders that were not accurate among 307307 orders observed. Use a 0.100.10 significance 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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Asked Nov 25, 2019
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In a study of the accuracy of fast food drive-through orders, one restaurant had 3838 orders that were not accurate among 307307 orders observed. Use a 0.100.10 significance 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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Expert Answer

Step 1

The proportion of inaccurate fast food drive-through orders is,

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х п 38 307 0.124

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Step 2

The null and the alternative hypotheses ...

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Но : р, 30.1 H:po0.1 a Test statistic: р- Р. рo (1- Ро) Z п 0.124-0.10 0.10(0.90) 307 0.024 0.017 1.41 Thus, the test statistic value is 1.41 The critical value for the test with 0.10 level of significance for a two-tailed test is 1.645

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Statistics

Hypothesis Testing

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