Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? OA H₂ H ₂ H₂:4₂ 2/₂ OC. M₂: ₂ ##2 H₁: P₁ P₂ The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) - State the conclusion for the test. D (Round to three decimal places as needed.) OB. M₂: P₁ P2 M₂: 1₂ #4₂ OD. Ho: #₁ #2₂ H₁ H₂ H/₂ the null hypothesis. There Is it valid to argue that magnets might appear to be effective if the sample sizes are larger? Since the for those treated with magnets is the sample mean for those given a sham treatment, it b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. valid to argue that magnets might appear to be effective if the sample sizes are larger. H n S Treatment Sham P₂ 30 0.45 1.01 H₁ 30 0.48 0.95