Question

Test \(\mathrm{A}\) is described in a journal article as being significant with " \(P<.01\) "; Test \(\mathrm{B}\) in the same article is described as being significant with " \(P<\).10." Using only this information, which test would you suspect provides stronger evidence for its alternative hypothesis?

Short answer

Test A provides stronger evidence for its alternative hypothesis because it has a lower P-value than Test B.

Step-by-step solution

- Understanding the P-value

The P-value represented as 'P' in the problem statement is a measure of how much evidence we have against the null hypothesis. The lower the P-value, the more evidence we have to reject our null hypothesis and therefore more evidence in favor of the alternative hypothesis.

- Compare the P-values

Test A has a P-value of less than .01 and Test B has a P-value less than .10. It is clearly seen that P-value of Test A is lower.

- Determining the test with stronger evidence

As we have observed in step 2, Test A has a lower P-value, there is more evidence against the null hypothesis and therefore it provides stronger evidence in favor of its alternative hypothesis.