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Please type out answers. A recent survey showed that in a sample of 100 elementary school teachers,...

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Statistics

Please type out answers.

A recent survey showed that in a sample of 100 elementary schoolteachers, 15 were single. In a sample of 180 high school teachers,36 were single. Is the proportion of high school teachers who weresingle greater than the proportion of elementary teachers who weresingle? 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 betweenthe P-value and alpha level OR test statistic and criticalvalue.

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