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Now I understand that the answer is A, however I need help with understanding WHY the answer is A. See the following for the full question and all pertinent information.
38) The federal government would like to test the hypothesis that the average age of men filing for Social Security is higher than the average age of women set using α = 0.05 with the following data:
|
|
Men |
Women |
|
Sample mean |
64.5 years |
63.6 years |
|
|
35 |
39 |
|
Population standard deviation |
3.0 years |
3.5 years |
If Population 1 is defined as men and Population 2 is defined as women, which one of the following statements is true?
A) Because the 90% confidence interval includes zero, we fail to reject the null hypothesis and cannot conclude that the average age of men filling for social security is more than the average age of women.
B) Because the 90% confidence interval does not include zero, we reject the null hypothesis and cannot conclude that the average age of men filling for social security is more than the average age of women.
C) Because the 90% confidence interval includes zero, we reject the null hypothesis and conclude that the average age of men filling for social security is less than the average age of women.
D) Because the 90% confidence interval does not include zero, we fail to reject the null hypothesis and cannot conclude that the average age of men filling for social security is more than the average age of women.
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