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 6.28. 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 6.28 indicates a very large difference between the two groups, and the fact that the difference is statistically significant suggests that it is not due to chance alone. Therefore, it is reasonable to conclude that the difference in average income between males and females is not only statistically significant but also large and important.

The Text Reports the Results of a Test for the Significance