Math 10 – Hypothesis Testing 2Name_____________________________________ gw 061.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 theNull Hypothesis (top drawing) and under the Alternative Hypothesis (bottom drawing).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 testshown in this graph?e.If the p-value of the test cameout to be .08, what would thedecision be? Also, write theconclusion in the context of the problem.f.What is the value of the mean under the Alternative Hypothesis?g.What is the effect size 0aof this test? Explain what it means.h.If the sample size was changed to 100, would the shaded area on the bottom graph increase, decrease or stay the same?