We want to test the null hypothesis at the α = 0.05 (alpha = 0.05) significance level that male and female college students are equally concerned about employment prospects after graduation. To test this hypothesis, suppose that we surveyed random samples of 15 male and 15 female college students using a scale of employment ranging from 1 for "not at all concerned" to 10 for "extremely concerned." The study data is found below:
Males (N1 = 15)
Females (N2 = 15)
X1
X2
8
4
7
3
6
1
10
7
2
6
1
9
4
10
3
4
5
3
6
6
7
4
5
3
9
6
8
8
10
1. Specify your null (H0) and alternative hypothesis (H1).
Null H0: Male and female college students are equally concerned about employment prospects after graduation.
Alternative H1: Male and female college students are not equally concerned about employment prospects after graduation.
2. Are you conducting a one-tailed or two-tailed test?
Two-tailed test.
3. Specify a decision rule. What is your alpha level? Based on your alpha level, what should your confidence level be?
Alpha (α) = 0.05. The confidence level should be 95%.
4. On a separate sheet of paper, calculate your test statistic (conduct your t-test and include your handwritten calculations from start to finish). Also, calculate your degrees of freedom. Be sure to include your calculations in this assignment on a separate piece of paper if needed.
5. State your conclusions using the format as outlined in class.
t( )=
6. In your own words, describe the results of the study.