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.

a) State the hypotheses that need to be tested (using proper notation)

b) Calculate the pooled estimate ofp.

c) Calculate the test statistic.

d) Calculate the P-value OR critical value.

e) Make a conclusion(IN CONTEXT) using the connection between the P-value and alpha level OR test statistic and critical value.