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In: Statistics and Probability

In the June 2007​ issue, Consumer Reports also examined the relative merits of​ top-loading and​ front-loading...

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

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