CED Nichole, Matthew, En D A recent study of not by gender: looked at differ in

Question

CED Nichole, Matthew, En D A recent study of not by gender: looked at differ in dieting trends. There were 182 women and 103 men who participated in the survey.T Gender Tried low-fat diet omen Men Yes 37 (a) Fill in the cells of the table. Gender Tried low-fat diet Men 37 s? (Round your answers to two decimal places.) women (c) Test that there is no association between gender and the likelihood of trying a low-fat diet. (Round your x2 to three decimal places, and round P-value # 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 Summarize the results.

Explanation / Answer

Ans:

a)

b)

Percentage of women,who tried low fat diet=100*37/182=20.33%

Percentage of men,who tried low fat diet=100*8/103=7.77%

c)

Chi square=7.807

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

p-value=CHIDIST(7.807,1)=0.0052

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

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

Women Men Total Yes 37 8 45 No 145 95 240 Total 182 103 285

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