Question

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 1 = 3.05 2 = 2.92 σ1 = 0.71 σ2 = 0.71 n1 = 100 n2 = 227 at α = 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.

Answer 1

The hypothesis test for difference in self-esteem scores between women science majors who stayed and those who left their profession resulted in a p-value of 0.1308. Since this p-value is greater than the alpha level of 0.05, we do not reject the null hypothesis, indicating insufficient evidence of a significant difference.

Step-by-step explanation:

The research question asks if there is a significant difference in self-esteem scores between women science majors who remained in their profession and those who left. To test this, we performed a hypothesis test and calculated a p-value of 0.1308. At the alpha level of 0.05, we compare the p-value to determine if we should reject the null hypothesis.

The null hypothesis posits that there is no difference in self-esteem scores between the two groups, while the alternative hypothesis suggests there is a difference. Since the p-value (0.1308) is greater than alpha (0.05), we do not reject the null hypothesis. Insufficient evidence exists to conclude a significant difference in the self-esteem scores between the two groups.