In: Statistics and Probability
Please type out answers.
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 α = 0.01.a) State the hypotheses that need to be tested (using proper notation)
b) Calculate the pooled estimate of p.
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.