Screenshot 2023-12-12 at 11.09.17 AM

In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire. Leavers Stayers x-barq = 3.05 x-bary = 2.92 01 =0.71 o2 =0.71 nq =100 ng = 227 At a = 0.05, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P- value method. 0.05, reject the null hypothesis. There is enough evidence to support the claim that there is a difference i > 0.05, reject the null hypothesis. There is enough evidence to support the claim that there is a differe The P-value > 0.05, do not reject the null hypothesis. There is not enough evidence to support the claim that there is a difference in scores. The P-value < 0.05, do not reject the null hypothesis. There is not enough evidence to support the claim that there is a difference in scores. Question 2 10/ 10 pts A test was made of Hp: n1 = pp versus Hq: g < po. The sample means were x1-bar = 11 and x2-bar = 9, the sample standard deviations were s1 = 7 and s2 = 5, and the sample sizes were n1 = 15 and n2 = 13. Is Hp rejected at the 0.05 level? (Hint: First compute the value of the test statistic.)