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 more higher.Suppose you believe that the percentage of obese Canadians has increased since 2004 and wish to test your belief.You hire an independent agency to conduct a hypothesis test and they come up with a P-value of 0.028.What is reasonable to conclude using α = 0.05?
A) There is a 2.8% chance that the percentage of obese Canadians has not changed.
B) If the percentage of obese Canadians has not changed,then 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.At α = 0.05,we fail to reject the null hypothesis that the percentage of obese Canadians has not changed.There is insufficient evidence to conclude that the percentage of obese Canadians is higher than 23.1%.
C) There is a 97.2% chance that the percentage of obese Canadians has not changed.
D) We can say there is a 2.8% chance that the percentage of obese Canadians increase in the results we observed from natural sampling variation.
E) If the percentage of obese Canadians has not changed,then 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.At α = 0.05,we reject the null hypothesis that the percentage of obese Canadians has not changed and conclude that the percentage of obese Canadians is now higher than 23.1%.
Correct Answer:
Verified
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