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 185 women and 104 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.)

Summarize the results.

There is no evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.There is strong evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.

     Gender Tried low-fat diet Women      Men Yes 37 7 No k -XX"x-)x-**)#7 EI *

Explanation / Answer

a) as men total is 104

b) % women =(37/185)*100 =20.00%

% men=(7/104)*100=6.73%

c)

X2=9.082

df=1

p value=0.0026

There is strong evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.

Gender Tried low-fat diet Women Men Yes 37 7 No 148 97

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