Chapter 13, Problem 58CRE

Resampling Texts Using the data from Exercise 13.25, we used a randomization test to find out whether the typical number of texts sent by men is less than the typical number sent by woman. The histogram shows the results of 1000 randomizations of the data. In each randomization, we found the mean difference brines two groups that were randomly selected from the combined group of data: the combined data for the men and women. Note that. just as you would expect under the null hypothesis, the distribution is centered at about 0. The observed difference in means (men minus women) is shown by the red vertical line. The sample mean for women was 28.52. and the sample mean for men was 27.01. The p-value for the one-sided hypothesis that women send more texts is shown in the numerical output. Does this show that women tend to send significantly more text messages than men? Use a significance level of 0.05 and assume the sample is randomly selected from the population. Comment on both the histogram and the table of output.