Hi I need help with this question please

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 (bottom drawing). Distribution of a. State the Null and Alternative I under Ha Hypotheses. Area . .07 b. What is the design probability associated with Type I error? c. What is the design probability Reject Its associated with Type II error? FAIL to PeJal HE d. What is the power of the test Arms.+5 Dustabdion of shown in this graph? 7 under Ha 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. f. What is the value of the mean under the Alternative Hypothesis?f. What is the value of the mean under the Alternative Hypothesis? g. What is the effect size #, - /| of 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? 2. An environmentalist estimates that the mean waste recycled by adults in the United States is more than 1 pound per person per day. You want to test this claim. You find that the mean waste recycled per person per day for a random sample of 12 adults in the United States is 1.2 pounds and the sample standard deviation is 0.3 pound. At a = 0.05, can you support the claim? (a) (DESIGN) State your Hypothesis in words and (d) (DESIGN) Determine decision rule parameters (p-value method)(a) (DESIGN) State your Hypothesis in words and (d) (DESIGN) Determine decision rule parameters (p-value method) (e) (DATA) Conduct the test, graph and shade the test statistic find the p-value and circle your decision. (b) (DESIGN) State Significance Level of the test and explain type I error in context Reject Ho Fail to Reject Ho (c) (DESIGN) Determine the statistical model (test (f) (CONCLUSION) State your overall conclusion in statistic) language that is clear, relates to the original problem and is consistent with your decision.3. A government association claims that 44% of adults in the United States do volunteer work. You work for a volunteer organization and are asked to test this claim. You find that in a random sample of 1165 adults, 556 do volunteer work. At a = 0.05, do you have enough evidence to reject the association's claim? (a) (DESIGN) State your Hypothesis (d) (DESIGN) Determine decision rule (p-value method) (e) (DATA) Conduct the test, graph and shade the test statistic find the p-value and circle your decision. (b) (DESIGN) State Significance Level of the test and explain what Type II error would be. Reject Ho Fail to Reject Ho (f) (CONCLUSION) State your overall conclusion in language that is clear, relates to the original problem and is consistent with your decision