Write the Word or Phrase That Best Completes Each Statement $\mu :$

question 33

Essay

Write the word or phrase that best completes each statement or answers the question.
-A pizza house is considering offering the following special: "Pizza delivered in less than 30 minutes or the pizza is free." Based on a random sample of 40 delivery times, the manager obtains the following 99% confidence interval for the true mean delivery time, $\mu :$ : 25 minutes to 30 minutes. The manufacturer concludes that at least 99% of the pizzas are delivered in under 30 minutes and that it will be safe to go ahead with the special offer. Is the manager's interpretation correct? Why or why not? Explain your thinking.

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Definitions:

P-value

The probability of obtaining test results at least as extreme as those observed during the test, assuming that the null hypothesis is correct.

Critical Value

A point on the scale of the test statistic beyond which we reject the null hypothesis, it's determined by the chosen significance level.

Alternative Hypothesis

A statement that contradicts the null hypothesis and indicates there is an effect or difference.

Critical Value Approach

A method used in hypothesis testing where the value of the test statistic is compared to a critical value to decide whether to reject the null hypothesis.