Question

If you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level, then all other things being equal you would also get a rejection of the null hypothesis for a 10% significance level. Select one:

a.True
b.False

Answer 1

a) True

Explanation:

Given that you are testing hypotheses and your p-value gives you a rejection of the null hypothesis for a 5% significance level

If all other things are kept equal, then at 10% significance level, what will be done we have to find out.

From the information given, we find that p value was <0.05 since then only null hypothesis would be rejected.

If other things remain the same, the p value would not vary.

So same value has to be necessarily < 0.10 also if <0.05

That is at 10% significance level also, we would get a rejection of null hypothesis.

In other words, if alpha is increased the rejection of null hypothesis would not change.

Hence a) True