Question

Determine whether to reject or fail to reject Upper H 0 at the level of significance of​ a) alphaequals0.08 and​ b) alphaequals0.02. Upper H 0​: muequals102​, Upper H Subscript a​: munot equals102​, and Pequals0.0473.

Answer 1

Given , P-value = 0.0473

• High P-values: your data are likely with a true null.
• Low P-values: your data are unlikely with a true null.

We accept the null hypothesis, when P-value else we reject it.

a)

So, p-value <0.08.

So we reject the null hypothesis at 0.08 level of significance.

b)

So, p-value > 0.02

So we fail to reject the null hypothesis at 0.02 level of significance.