2) A recent study of undergraduates looked at gender differences in dieting tren

Question

2) A recent study of undergraduates looked at gender differences in dieting trends. There were 181 women and 106 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 no evidence at the 5% level that gender and the likelihood of trying a low-fat diet are related.

B) 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 38 9 No

Explanation / Answer

women =38/181=20.99%

men =9/106=8.49%

=7.632

p value=0.0057

df=1

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

women men 38 9 143 97 181 106

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