A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized next. At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value for this hypothesis test?
A)0.0500
B)0.0164
C)0.0001
D)0.0082

Question

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized next.  At the .01 significance level, is there a difference in the mean number of times men and women send a Twitter message in a day? What is the p-value for this hypothesis test?
A)0.0500 
B)0.0164 
C)0.0001 
D)0.0082

Quizplus · Accepted Answer

The question involves testing the difference in means between two groups, men and women. Therefore, a two-sample t-test is appropriate. The null hypothesis is that there is no difference in the mean number of times men and women send a Twitter message in a day. 
Ho: μ1 = μ2 (where μ1 and μ2 are the mean number of Twitter messages per day for men and women, respectively) 
Ha: μ1 ≠ μ2 (two-tailed test)
The t-test output gives a p-value of 0.0164. Since this value is less than the significance level of 0.01, we reject the null hypothesis and conclude that there is a significant difference in the mean number of times men and women send a Twitter message in a day.

A Recent Study Focused on the Number of Times Men