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 105 men who participated in the survey The table below summarizes whether a student tried a low-fat diet or not by gender: Tried low-fat diet Yes No Women Men 38 (a) Fill in the missing cells of the table. Tried low-fat diet Yes No Women Men 38 (b) Summarize the data numerically. What percent of each gender has tried low-fat diets? (Round your answers to two decimal places.) 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.) p-value = 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.

Explanation / Answer

Ans:

a)

b)P(women who tried low fat)=38/189=20.11%

P(men who tried low fat)=9/105=8.57%

c)

Test statistic:

Chi square=6.686

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

p-value=CHIDIST(6.686,1)=0.0097

As,pvalue<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.

Observed(O) Women men Total Yes 38 9 47 No 151 96 247 Total 189 105 294

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