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 185 women and 101 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.)

     Gender Tried low-fat diet Women      Men Yes 38 7 No

Explanation / Answer

The statistical software output for this problem is:

Contingency table results:
Rows: Treid low - fat diet
Columns: None

Chi-Square test:

Hence,

a) Missing first cell = 147

Missing second cell = 94

b) Proportion of women = 38/185 = 20.54%

Proportion of men = 7/101 = 6.93%

c) X2 = 9.127

Df = 1

P - value = 0.0025

Women Men Total Yes 38 7 45 No 147 94 241 Total 185 101 286

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