How to solve a question about regarding hypothesis testing problem?

The average age of males is greater than the average age of females, with a confidence of 95%

Your conclusion would be:

The researcher is 95% confident that the average age of a male is greater than the average age of a female at the particular university.

voila

the null hypothesis states that the average male and female age is equal. the alternative hypothesis states that the average male age is higher than the average female age. if your p-value is less than .05 (your ?), then you reject the null hypothesis. if your p-value is greater than .05, then you cannot reject the null hypothesis, meaning that there is still a significant chance that the average ages of males and females may be the same, but that does not automatically mean it's true.

in your question, it specifically states that the researcher accepted the null hypothesis, so that means we conclude that the average male and female age is equal.

by the way, we are almost NEVER even close to 100% sure.


.....furthermore, ignore every answer that talks about a 95% confidence level. this problem has nothing to do with confidence intervals.