The following hypothesis test is performed by an engineer H0

The following hypothesis test is performed by an engineer:

H_0: u = 0.065

H_a: u > 0.065

if the random sample gathered is of size 61, for what values of the appropriate test statistic will the engineer fail to reject (accept) the null hypothesis with test significance level 0.10 ?

Solution

Test is right tailed.

Degree of freedom is df=n-1=60

So critical value of the test is 1.296

If test statistic value is less than 1.296 (t < 1.296), the engineer will fail to reject the null hypothesis.