SCENARIO - SOCIAL MEDIA USE A sociologist focusing on popular culture and media believes that the average number of hours per week [h rsr'week) spent using social media is greater for women than for men. The sociologist examines two independent simple random samples{100 males and 100 females} and conducts a two sample ttest with the following hvpotheses: H0411 = p2 H1: pl 1 p2 where p1 = the true number of hours per week women spend on social media and p2 = the true number of hours per week men spend on social media Here is the output of the two sample ttest: Two Sample tttst data: Media_Data t = 0.9, df = 198, pvalue = 0.450 alternative hvpothesis: true difference in means is not equal to D 95 percent condence interval: 1.95 2.00 sample estimates: mean of women mean of men 4.2 4 Question 1 1 point possible {graded} O O O O -What is the proper conclusion based off the output? At the 0.05 level of signicance, we reject the null hypothesis and conclude that the true population means are not equal. This indicates that women spend more hours per week on social media than men. At the 0.05 level of signicance, we reject the null hypothesis and conclude that the true population means are not equal. This indicates that men spend more hours per week on social media than women. At the 0.05 level of signicance, we fail to reject the null hypothesis and conclude that the true population means do not differ. This indicates that men and women spend the exact same amount of time on social media. At the 0.05 level of signicance, we fail to reject the null hypothesis and conclude that the true population means do not differ. This indicates that it is plausible that the true mean number of hours per week men and women spend on social media is the same. Question 2 1 point possible {graded} -What is the proper interpretation ofthe confidence interval? Q We are 95% condent that the true mean difference in hours per week that women and men spend on social media is between (-1.95, 23. Because this interval contains zero. we can infer that the true mean number of hours per week spent on social media is greater for men than women. 0 We are 95% condent that the true mean difference in hours per week that women and men spend on social media is between (71.95. 2]. Because this interval contains zero. we can infer that the the mean number of hours per week spent on social media is greater forwomen than men. 0 We are 95% condent that the true mean difference in hours per week that women and men spend on social media is between (-1.95, 2]. Because this interval contains zero. we can infer that it is plausible that the true mean number of hours per week spent on social media is the same for men and women. 0 We are 95% condent that the true mean difference in hours per week that women and men spend on social media is bemeen (71.95. 2]. Because this interval is negative and positive. we can infer that it is plausible that the true mean number ofhours perweek spent on social media is not the same for men and women