n 50 a 005 Sign in Ha test statistic 257 Rejection Regi

n = 50 a = 0.05 Sign in Ha : > test statistic : 2:57 Rejection Region? Decision (R or I) p- value?

Solution

It is a right-tailed test.

Given a=0.05, the critical value is Z(0.05) = 1.645 (from standard normal table)

The rejection region is if Z>1.645, we reject the null hypothesis.

Since the test statistic is 2.57 which is larger than 1.645, we reject the null hypothesis.

The p-value= P(Z>2.57) = 0.0051 (from standard normal table)