In: Statistics and Probability
In the June 2007 issue, Consumer Reports also examined the relative merits of top-loading and front-loading washing machines, testing samples of several different brands of each type. Suppose the study tested the null hypothesis that top- and front-loading machines don't differ in their mean costs, and the test had a P-value of 0.32. Would a 95% confidence interval for mu Subscript top Baseline minus mu Subscript front contain 0? Explain. Choose the correct answer below. A. No. The high P-value means that we have evidence of a difference, so 0 is not a plausible value for mu Subscript top Baseline minus mu Subscript front. B. No. The high P-value means that we lack evidence of a difference, so 0 is not a plausible value for mu Subscript top Baseline minus mu Subscript front. C. Yes. The high P-value means that we lack evidence of a difference, so 0 is a plausible value for mu Subscript top Baseline minus mu Subscript front. D. Yes. The high P-value means that we have evidence of a difference, so 0 is a plausible value for mu Subscript top Baseline minus mu Subscript front