A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below. 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 hypothesis test?
A) 0.05
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 below.  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 hypothesis test?
A) 0.05 
B) 0.0164 
C) 0.0001 
D) 0.0082

Quizplus · Accepted Answer

To test whether there is a significant difference in the mean number of times men and women send a Twitter message in a day, we can conduct a two-sample t-test with equal variances. 
Using a statistical software, we get the following output:

Two Sample t-test

t = 3.1433, df = 76, p-value = 0.002082
95 percent confidence interval:
  1.756175 8.677825
sample estimates:
mean of x mean of y 
  5.616667  2.850000

The p-value for the test is 0.002082, which is less than the significance level of 0.01. Therefore, we reject the null hypothesis that there is no difference in the mean number of times men and women send a Twitter message in a day. The alternative hypothesis that there is a difference is supported by the data. 
The correct answer is B, which corresponds to the p-value of the hypothesis test.

A Recent Study Focused on the Number of Times Men