Refer to the previous exercise about the study of the relationship between level of physical activity and aging.

Suppose that the observed cell counts were actually half as small as those reported in the original study.

a. Without carrying out any extensive calculations, say whether the p-value would increase, decrease, or stay the same. Explain your reasoning.

b. Without carrying out any extensive calculations, say what the value of the chi-square statistic would be. Explain your reasoning. 

c. Would the evidence in support of an association between physical activity and healthy aging for people such as the ones in the study be stronger or weaker compared to the original study? Explain how you are deciding.

Data from previous exercise

An eight-year cohort study of 3,454 initially disease-free men and women (ages around 60 years or more) recorded the extent of physical activity the participants engaged in and whether or not they were showing signs of €œhealthy aging€ (British Journal of Sports Medicine, 2013). Here is the table of summarized counts at the conclusion of the study:

Transcribed Image Text:

Activity level Inactive Moderate Vigorous Total Yes 665 55 345 265 Healthy aging? No 2,789 598 1,347 844 1,692 1,109 3,454 Total 653