# Math Help - Hypothesis Testing for Two Proportions

1. ## Hypothesis Testing for Two Proportions

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 is correct, fail to reject $H_0$ and therefore conclude there is no evidence to suggest the true proportion of women with college degrees is greater than the true proportion of men with college degrees.