Groupwork07.docx - Math 10 Hypothesis Testing 2 1 A...

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Math 10 Hypothesis Testing 2 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 showed diagrams of a hypothesis test for population mean under the Null Hypothesis (top drawing) and under the Alternative Hypothesis (bottom drawing). a. State the Null and Alternative Hypotheses. Ho : µ = 7 Ha : µ < 7 b. What is the design probability associated with Type I error? a = 0.07 c. What is the design probability associated with Type II error? b = 0.75 d. What is the power of the test shown in this graph? Power = 1- b = 0.25 → 25% 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 0.08 > 0.07 therefore Fail to Reject the Ho. f. What is the value of the mean under the Alternative Hypothesis? Alternative Hypothesis = 2 g. What is the effect size of this test? Explain what it means Based on the graphs the β is greater than α which makes the Ho graph area shaded more than the Ha graph.

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