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 187 women and 103 men who participated in the survey. The table below summarizes whether a student tried a low-fat diet or not by gender: Gender Tried low-fat diet Women Men Yes 40 8 No

(a) Fill in the missing cells of the table. Gender Tried low-fat diet Women Men Yes 40 8 No

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

(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.) 2 = df = P-value =

Summarize the results.

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

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

Explanation / Answer

Ans:

a)

b)

Women = (40/187) × 100 Women = 21.39%

Men = (8/103) × 100 Men =7.77%

c)

H0: Gender and dieting preferences are independent.

Ha: Gender and dieting preferences are not independent(or are related)

2 = 8.925

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

P-value =CHIDIST(8.925,1)=0.0028

As,p-value<0.05,we reject null hypothesis.

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

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