Pregunta
- Mickey D’s 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 (based on data from
magazine).
Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to
.
Does the accuracy rate appear to be acceptable?
orders that were not accurate among 362 orders observed (based on data from
Use a 0.05 significance level to test the claim that the rate of inaccurate orders is equal to
Does the accuracy rate appear to be acceptable?
Ask by Li Peterson. in the United States
Jan 23,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
There is not enough evidence to conclude that the rate of inaccurate McDonald’s drive-through orders differs from 10%. Therefore, the accuracy rate appears to be acceptable.
Solución

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Como
Extra Insights
To test the claim, we start by setting up our hypotheses:
- Null Hypothesis (
): The rate of inaccurate orders is (or ). - Alternative Hypothesis (
): The rate of inaccurate orders is not (or ).
The sample proportion of inaccurate orders from the observed data is calculated as:
Next, we can use a z-test for proportions. The test statistic is calculated using the formula:
where
and
.
Plugging in the numbers:
Now, we look for the critical z-value for a two-tailed test at a 0.05 significance level, which is approximately ±1.96. Since our calculated z-value (-0.35) lies between -1.96 and 1.96, we fail to reject the null hypothesis.
Based on this test, there is not enough evidence to claim that the rate of inaccurate orders is significantly different from
. Thus, it appears that the accuracy rate could be considered acceptable, as it does not significantly deviate from the
standard.

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