Answer Happy

A government official claims that
the proportion of employees who work
overtime on the weekend is at most
12 percent of its total employment.
A citizen decides to test his claim
against the alternative that the true
proportion is more than 12%. The
government official’s claim is rejected if
the sample proportion of employees who work
overtime on the weekend exceeds 15%.
1) If a random sample of 100
government employees is chosen, what
is the probability of a Type I
error, using this decision rule?
2) Suppose that the true
proportion of employees who work
overtime on the weekend is 0.20.
If a random sample of 100
employees is selected, what is
the probability of a Type II
error? What is the power of
the test?