Each person in the study was weighed before beginning the diet and then 5 weeks after starting the diet. The difference was –a positive value indicates a person lost weight on the diet while a negative value indicates the person gained weight while on the diet. The advertisement gave a 95% confidence interval for the average weight change while on the diet: ( − 1,5) lbs.
The advertisement says that this shows the diet works at reducing weight for obese adults since more people lost weight than gained weight. What conclusion can be made about the weight loss program?
Choose the correct answer below.
A. Their claim that the diet works is accurate, but for the wrong reason. Because 0 is in the interval, there is evidence to indicate the average weight loss is more than 0 for obese adults.
B. Their interpretation of the confidence interval is correct.
C. Their interpretation of the confidence interval is not correct. Because the lower bound is negative, some people did gain weight which means that we can’t claim the diet works at reducing weight for all obese adults.
D. Their interpretation of the confidence interval is not correct. Because 0 is in the interval, there is no evidence to indicate that the average weight loss is more than 0 for obese adults.
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