There is a concern among women smokers that their BMI (assumed to be Normally di

Question

There is a concern among women smokers that their BMI (assumed to be Normally distributed) will increase if they stop smoking. A random sample was taken of 21 women who were about to stop smoking. Their baseline BMI was recorded and their 6-year post-smoking cessation BMI was recorded. We want to know if they experienced a significant increase in BMI.

If the calculated test statistic is 2.87, what is the conclusion and why?

a.) We accept the null hypothesis and claim that women smoker’s BMI will stay the same if they stop smoking.

b.) There is insufficient evidence to suggest that women smoker’s BMI will increase if they stop smoking.

c.) There is sufficient evidence to suggest that women smoker’s BMI will increase if they stop smoking.

d) We accept the alternative hypothesis that women smoker’s BMI will decrease if they stop smoking

e.) The proportion of women smokers who have a BMI increase when they stop smoking is not significantly different than 0

a.) We accept the null hypothesis and claim that women smoker’s BMI will stay the same if they stop smoking.

b.) There is insufficient evidence to suggest that women smoker’s BMI will increase if they stop smoking.

c.) There is sufficient evidence to suggest that women smoker’s BMI will increase if they stop smoking.

d) We accept the alternative hypothesis that women smoker’s BMI will decrease if they stop smoking

e.) The proportion of women smokers who have a BMI increase when they stop smoking is not significantly different than 0

Explanation / Answer

as p value for above test stat is high enough; hence c.) There is sufficient evidence to suggest that women smoker’s BMI will increase if they stop smoking

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