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 182 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.

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.

     Gender Tried low-fat diet Women      Men Yes 38 8 No

Explanation / Answer

a)

b)

from above women % =(38/182)*100=20.88%

men % =(8/106)*100 =7.55%

c) applying chi test of indepedence on above:

= 8.871

df =1

P value =0.0029

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 8 No 144 98

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