The text reports the results of a test for the significance of the difference in average income for random samples of males and females.Males earned an average of about $17,000 more per year and the Z score computed in step 4 was 10.18.Given these results,which of the following is a reasonable conclusion?
A)The difference is statistically significant,large,and important.
B)The difference is not statistically significant and was probably caused by random chance.
C)There is no gender gap in income in the United States.
D)This difference is statistically significant but quite small.

Question

Quizplus · Accepted Answer

A Z score of 10.18 indicates a very large difference between the two sample means. Additionally, the p-value associated with this Z score is likely to be extremely small, indicating that the observed difference is highly unlikely to have occurred by chance. Therefore, we can reasonably conclude that the difference is both statistically significant and large, and should not be attributed to random chance. The fact that males earn an average of $17,000 more per year suggests that there is a significant gender gap in income in the United States.

The Text Reports the Results of a Test for the Significance