In the July 2007 issue, Consumer Reports examined the calorie content of two kin

Question

In the July 2007 issue, Consumer Reports examined the calorie content of two kinds of hot dogs: meat (usually a mixture of pork, turkey, and chicken) and all beet. The researchers purchased samples of several different brands. The meat hot dogs averaged 111.7 calories, compared to 135.4 for the beef hot dogs. A test of the null hypothesis that there's no difference in mean calorie content yields a P-value of 0.124. Would a 95% confidence interval for mu_Meat - mu_Beef include 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 possible value for the confidence interval. B. No. The high P-value means that we lack evidence of a difference, so 0 is not a possible value for the confidence interval. C. Yes. The high P-value means that we lack evidence or a difference, so 0 is a possible value for the confidence interval. D. Yes. The high P-value means that we have evidence of a difference, so 0 is a possible value for the confidence interval.

Explanation / Answer

If a 95% confidence interval includes the null value, then there is no statistically meaningful or statistically significantdifference between the groups.

Here the p value is 0.124 and the level of significance is only 0.05

so the answer is

Yes the high p value means that ewe lack evidence of a difference, so 0 is a possible value for the confidence interval

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