Statistic test on problem

A recent survey showed that in a sample of 100 elementary school teachers, 15 were single. In a sample of 180
high school teachers, 36 were single. Is the proportion of high school teachers who were single greater than the
proportion of elementary teachers who were single? Use 􀎅 = 0.01.

1. Set up hypotheses.
2. Find the test statistic.
3. Determine the p-value and make conclusions.
4. Summarize the result using complete sentences and proper grammar.

I'll give 10 points to anyone who answers this, please I can't figure it out!

Ho: the two proportions are the same
Ha: the proportion is greater among high school teachers(P1 The test statistic is
Z = (p1 - p2)/Sqrt{pq(1/n1 + 1/n2)} where p = (n1p1+n2p2)/(n1+n2) and q = 1 - p.
This is a standard normal variable. The test is one sided (lower sided). At 0.01 level of significance, the critical value is -1.645.
Here, p1 = 15/100 = 0.15, p2 = 36/180 = 0.20, p = (15+36)/(100+180) = 0.182
Z(calculated) = (0.15-0.20)/Sqrt{0.182*0.818(1/100+1/180… = -1.04 (This value is more than -1.645, and hence, Ho is accepted).
p-value = 0.2984 (This value is greater than 0.01, and so, Ho is accepted)
Thus, we do not have enough evidence to conclude that the proportion is greater among high school teachers.
We conclude that the proportion of high school teachers who are single is the same as the proportion of elementary teachers who are single.

Yahoo Answers is not a place to ask questions, I think.