In a study of the accuracy of fast food drive-through orders, McDonald’s had33 orders that were not accurate among 362 orders observed. Use a 0.05significance level to test the claim that the proportion of inaccurate orders isequal to 10%.A: Write the claim as a mathematical statement involving the populationproportion ?.B: State the null (?0) and alternative (??) hypotheses.C: Find the test statistic (?????) for the given sample.D: Find the critical value(s) OR the P-value for the given test.E: Would you Reject or Fail to Reject the null (?0) hypothesis.F: Write the conclusion of the test.

Question
Asked Nov 28, 2019
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In a study of the accuracy of fast food drive-through orders, McDonald’s had
33 orders that were not accurate among 362 orders observed. Use a 0.05
significance level to test the claim that the proportion of inaccurate orders is
equal to 10%.
A: Write the claim as a mathematical statement involving the population
proportion ?.
B: State the null (?0) and alternative (??) hypotheses.
C: Find the test statistic (?????) for the given sample.
D: Find the critical value(s) OR the P-value for the given test.
E: Would you Reject or Fail to Reject the null (?0) hypothesis.
F: Write the conclusion of the test.

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Expert Answer

Step 1

(A)

Here, the claim of the test is the proportion of inaccurate orders is
equal to 10%. This is representing in null hypothesis and denoted as p=010. The alternative hypothesis is that the proportion of inaccurate orders is not equal to 10% and denoted as p≠010.

Hence, the mathematical statement involving the population
proportion is p=010 and p≠010.

(B)

The test hypotheses are given below:

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Null hypothesis: Hң:р-0.10 Alternative hypothesis: H:p#0.10

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Step 2

(C)

The sample proportion is,

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х п 33 362 = 0.0912

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Step 3

The test statistic is –0.01 and o...

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Sample statistic - Null Parameter Z SE p-Po р. (1- р.) п 0.0912 0.10 0.10(1-0.10) 362 =-0.01

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Hypothesis Testing

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