Researchers conducted a study to determine whether magnets are effective in treating back pain Pain was measured using the visual analog scale and the results shown below are among the results obtained in the study Higher scores correspond to greater pain levels 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 to c below Reduction in Pain Level After Magnet Treatment n 29 x 0 55 s 0 89 Reduction in Pain Level After Sham Treatment n 29 x 0 49 s 1 46 a Use a 0 01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment similar to a placebo What are the null and alternative hypotheses OA Ho H1 H H H H OC Ho H H H H H 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 the null hypothesis There b Construct a confidence interval appropriate for the hypothesis test in part a 044 20 OB Ho H H H H H OD Ho H1 H H H 2H sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment