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 189 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.

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

b. There is no 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 36 7 No   

Explanation / Answer

a)

b)

women =(36/189)*100=19.05%

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

c) applying chi square test on above data:

2 =8.127

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

P-value =0.0044

a. 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 36 7 No 153 97

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