the following hypothesis test is performed by an engineer H0

the following hypothesis test is performed by an engineer

H0 mu = 0.065

Ha: mu> 0.065

if the 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?

t<1.296

t<1.671

Z<-1.28

Z<1.28

Z<1.645

Solution

Test is right tailed. Degree of freedom is df=n-1=61-1=60. So for significance level 0.10, critical value of the t-test is 1.296. So the engineer will fail to reject the null hypothesis if calculated t-value is less than critical value 1.296. So option 1 is correct.