In a two-sample two-sided t-test comparing group A to group B, the two-sided tes

Question

In a two-sample two-sided t-test comparing group A to group B, the two-sided test shows a p-value of 0.07. Which of the following BEST what that means in terms of population A and population B (assuming alpha = 0.05 for this test) ?

A. Either the true mean of population A is equal to the true mean of population B or one or more outlier sample groups led to a Type I Error.

B. If there is a difference between the true mean of population A and population B, it is not statistically significant.

C. Either the true mean of population A is not equal to the true mean of population B or one or more outlier sample groups led to a Type I Error.

D. The true mean of population A is clearly equal to the true mean of population B.

E. The true mean of population A is clearly not equal to the true mean of population B.

Explanation / Answer

Since p-value (0.07) greater than level of significance 0.05, so fail to rejecting the null hypothesis at 5% level of significance.
hence it can be concluding that there is no significance difference between the population mean A and population mean B.
correct option (D).
D. The true mean of population A is clearly equal to the true mean of population B.

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