Math 10 Power and Type II error 1.A researcher wants to support the claim that students spend less than 7 hours per week doing homework. The sample size for the test is 64 students. The drawing shown diagrams a hypothesis test for population mean under the Null Hypothesis (top drawing) and under the Alternative Hypothesis (bottomdrawing).a.State the Null and AlternativeHypotheses

b.What is the design probabilityassociated with Type I error?

c.What is the design probabilityassociated with Type II error?

d.What is the power of the test shownin this graph?

e.If the p-value of the test came out to be .08, what would the decision be? Also, write the conclusion in the context of the problem.