According to the 2004 Canadian Community Health Survey,23.1% of Canadians aged 18 or older were considered obese; that is,they had a body mass index (BMI) of 30 or higher.Suppose you believe that the percentage of obese Canadians has increased since 2004 and wish to test your belief.Based on a 2014 survey,you conduct a hypothesis test and come up with a P-value of 0.028.What is reasonable to conclude?

A) If the percentage of obese Canadians has not changed,then there is a 2.8% chance of seeing the increase in the percentage of obese Canadians that we observed (or higher) from natural sampling variation.There is no evidence the percentage of obese Canadians has increased since 2004,but we cannot conclude the percentage hasn't increased.
B) There is a 97.2% chance that the percentage of obese Canadians has increased since 2004.
C) There is a 2.8% chance that the percentage of obese Canadians has increased since 2004.
D) If the percentage of obese Canadians has not changed,then there is a 2.8% chance of seeing the increase in the percentage of obese Canadians that we observed (or higher) from natural sampling variation.There is strong evidence that the percentage of obese Canadians has increased since 2004.
E) We can say there is a 2.8% chance that the percentage of obese Canadians has increased in the results we observed from natural sampling variation.We conclude that the percentage of obese Canadians has not increased since 2004.

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Francheska David · Accepted Answer

Final Answer : D, Explanation :  A P-value of 0.028 means that if the percentage of obese Canadians has not changed since 2004, there is only a 2.8% chance of seeing the increase in the percentage of obese Canadians that we observed or higher from natural sampling variation. This suggests strong evidence that the percentage of obese Canadians has increased since 2004. Therefore, choice D is the best answer.

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