A two-sample t-test for a difference in means was conducted to investigate whether the average wait time at a fast food restaurant in Town A was longer than the average wait time at a fast food restaurant in Town B. With all conditions for inference met, the test produced a test statistic of t=2.42 and a p-value of 0.011.
Based on the p-value and a significance level of α=0.02, which of the following is a correct conclusion?
There is convincing statistical evidence that the average wait times at the two restaurants are the same.
There is convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B.
There is convincing statistical evidence that the average wait times at the two restaurants are different.
There is not convincing statistical evidence that the average wait times at the two restaurants are the same.
There is not convincing statistical evidence that the average wait time at the restaurant in Town A is longer than the average wait time at the restaurant in Town B.
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