If the test value in the figure below, for a test of the difference between two large sample means, is 2.57 when the critical value is 1.96, what decision about the hypothesis should be made?

A)reject the null hypothesis
B)accept the null hypothesis
C)reject the alternative hypothesis
D)not enough information

Question

If the test value in the figure below, for a test of the difference between two large sample means, is 2.57 when the critical value is 1.96, what decision about the hypothesis should be made?

A)reject the null hypothesis 
B)accept the null hypothesis 
C)reject the alternative hypothesis 
D)not enough information

Quizplus · Accepted Answer

The test value of 2.57 is greater than the critical value of 1.96, which means it falls in the rejection region. Therefore, we reject the null hypothesis and accept the alternative hypothesis. The test value of 2.57 is greater than the critical value of 1.96, which means that the test result falls in the rejection region. Therefore, we should reject the null hypothesis and accept the alternative hypothesis.

If the Test Value in the Figure Below, for a Test