In conducting a hypothesis test for the difference in two population means where the standard deviations are known and the null hypothesis is: : - ≥ 0 What is the p-value assuming that the test statistic has been found to be z = 2.52?
A)0.0059
B)0.9882
C)0.0118
D)0.4941

Question

In conducting a hypothesis test for the difference in two population means where the standard deviations are known and the null hypothesis is:  :  -  ≥ 0 What is the p-value assuming that the test statistic has been found to be z = 2.52?
A)0.0059 
B)0.9882 
C)0.0118 
D)0.4941

Quizplus · Accepted Answer

The p-value is the probability of getting a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. Since the alternative hypothesis is two-sided, we need to find the area in both tails beyond 2.52 (i.e., the absolute value of the test statistic). Using a standard normal distribution table or calculator, we find the area to be 2*(1 - 0.9941) = 0.0118. Therefore, the p-value is 0.0118.

In Conducting a Hypothesis Test for the Difference in Two