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 if the average time spent on the deliveries does not exceed 30 minutes. The owner has randomly selected 16 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 30 minutes. The P-value for the test was found to be 0.029
State the correct conclusion.
A) The p-value is large so we reject H0. We have sufficient evidence to say that mean delivery time exceeds 30 minutes.
B) The p-value is small so we fail to reject H0. We do not have sufficient evidence to say that mean delivery time exceeds 30 minutes.
C) The p-value is large so we fail to reject H0. We do not have sufficient evidence to say that mean delivery time exceeds 30 minutes.
D) The p-value is small so we reject H0. We have sufficient evidence to say that mean delivery time exceeds 30 minutes.
To determine the correct answer, we need to understand the concept of p-value and hypothesis testing. The p-value is a probability value that measures the strength of evidence against the null hypothesis (H0) in a hypothesis test. In this case, the null hypothesis would be that the mean delivery time does not exceed 30 minutes.
In hypothesis testing, if the p-value is less than the predetermined significance level (often 0.05), we reject the null hypothesis. Conversely, if the p-value is greater than or equal to the significance level, we fail to reject the null hypothesis.
Given that the p-value in this case is 0.029, which is less than the typical significance level of 0.05, we can conclude that the p-value is small. Therefore, the correct option is:
D) The p-value is small so we reject H0. We have sufficient evidence to say that mean delivery time exceeds 30 minutes.
D) The p-value is small so we reject H0. We have sufficient evidence to say that mean delivery time exceeds 30 minutes.
a = 0.03
a = .05
Reject Ho.
answer D.
If
a =
0.02
0.01
0.025
Then fail to reject the H0.
Answer C