A recent study of undergraduates looked at gender differences in dieting trends.

Question

A recent study of undergraduates looked at gender differences in dieting trends. There were 184 women and 105 men who participated in the survey. The table below summarizes whether a student tried a low-fat diet or not by gender:

(a) Fill in the missing cells of the table.

(b) Summarize the data numerically. What percent of each gender has tried low-fat diets? (Round your answers to two decimal places.)

(c) Test that there is no association between gender and the likelihood of trying a low-fat diet. (Round your ?2 to three decimal places, and round your P-value to four decimal places.)

     Gender Tried low-fat diet Women      Men Yes 35 8 No ___ ____

Explanation / Answer

Ans:

a)

b)Women who tried low-fat diets=100*35/184=19.02%

men who tried low-fat diets=100*8/105=7.62%

c)

Chi square=6.863

df=(2-1)*(2-1)=1

p-value=CHIDIST(6.863,1)=0.0088

Tried low-fat diet Women Men Total Yes 35 8 43 No 149 97 246 Total= 184 105 289

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