Discuss a controversy-one-sided and two-sided p- values


Discuss the below:

Why do you think there is such a controversy between one-sided and two-sided p- values?

Why can a small mean difference in a t-test produce a large p-value when the sample size is small and a small p-value if the sample size is large?

If you know that a 90% confidence interval for the difference of two means does not include 0, what can you say about the p-value for testing µ1= µ2 vs. µ1=-µ2?

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Basic Statistics: Discuss a controversy-one-sided and two-sided p- values
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