Question

A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful only if the average time spent on a delivery does not exceed 25 minutes. The owner has randomly selected 21 customers and delivered pizzas to their homes in order to test whether the mean delivery time actually exceeds 25 minutes. Suppose the p-value for the test was found to be .0284. State the correct conclusion.

Question 22 options:
At ? = .025, we fail to reject H0.
At ? = .05, we fail to reject H0.
At ? = .03, we fail to reject H0.
At ? = .02, we reject H0.

Answer 1

Claim : The average time spent on a delivery does not exceed 25 minutes.

n = 21

We are given that p-value for the test was found to be .0284.

Now we are supposed to state the conclusions

a) At α = .025, we fail to reject
`H_0`.

p value = 0.0284

α = 0.025

P value > α

So, we accept the null hypothesis i.e. we fail to reject null hypothesis.

b)At α = .05, we fail to reject
`H_0`.

p value = 0.0284

α = 0.025

P value < α

So, we reject the null hypothesis

c)At α =.03, we fail to reject
`H_0`.

p value = 0.0284

α = 0.025

P value < α

So, we reject the null hypothesis

d)At α =.02, we reject
`H_0`.

p value = 0.0284

α = 0.025

P value > α

So, we accept the null hypothesis i.e. we fail to reject null hypothesis.