Answer to Question #346158 in Statistics and Probability for akeo

Question

In a test of hypothesis about a mean, The critical value for = 0.05 and a two tailed test is 1.96. The resulting statistic value for the sample data is - 1.75.

Which is the correct decision on the null hypothesis based on the given information?

A. Reject the null hypothesis

B. Do not reject the null hypothesis

C. Change the alternative hypothesis

D. Redefine the hypothesis.

Answer 1

Since it is observed that $|z| =1.75<1.96= z_c,$ it is then concluded that the null hypothesis is not rejected.

B. Do not reject the null hypothesis