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 (2.57) is greater than the critical value (1.96) which means that the calculated difference between the two sample means is statistically significant at the chosen level of significance (usually 0.05). Therefore, the null hypothesis can be rejected in favor of the alternative hypothesis.

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