I have a problem I am doing for hw for my Data Analysis II course, which involves the use of Minitab and need help. I solved it, but need to know if I had done it correctly.
Problem: A random sample of 78 women ages 21-29 in Denver showed that 23 have a college degree. Another random sample of 73 men in Denver in the same age group showed that 20 have a college degree. Based on information from Educational Attainment in the United States, Bureau of the Census, does this indicate that the proportion of Denver women ages 21-29 with college degrees is more than Denver men in this same age group?
My Minitab output:
Test and CI for Two Proportions
Sample X N Sample p
1 23 78 0.294872
2 20 73 0.273973
Difference = p (1) - p (2)
Estimate for difference: 0.0208992
95% lower bound for difference: -0.0998659
Test for difference = 0 (vs > 0): Z = 0.28 P-Value = 0.388
Decision: 0.388 > 0.05 , so Fail to reject the null hypothesis
Conclusion: There exists sufficient evidence at the 5% level of significance that the true proportion of Denver women ages 21-29 with college degrees is more than the true proportion of Denver men ages 21-29 with college degrees.