Question

In a study of the accuracy of fast-food drive-through orders, one restaurant had 31 orders that were not accurate among 366 orders observed. Use a 0.05 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.

Answer 1

The accuracy rate does not appear to be acceptable.

Step-by-step explanation:

The null hypothesis is that the rate of inaccurate orders is equal to 10%, and the alternative hypothesis is that the rate of inaccurate orders is not equal to 10%. To test this claim, we can use a hypothesis test for a binomial proportion.

We calculate the test statistic, which is the z-score, and the p-value. With a p-value of 0.0044, which is less than the significance level of 0.05, we reject the null hypothesis.

Therefore, there is sufficient evidence to conclude that the accuracy rate is not acceptable and is different from 10%.