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In: Statistics and Probability

A recent study of undergraduates looked at gender differences in dieting trends. There were 188 women...

A recent study of undergraduates looked at gender differences in dieting trends. There were 188 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:

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

(a) Fill in the missing cells of the table.

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


(b) Summarize the data numerically. What percent of each gender has tried low-fat diets? (Round your answers to two decimal places.)

women    
men


(c) Test that there is no association between gender and the likelihood of trying a low-fat diet. (Round your χ2 to three decimal places, and round your P-value to four decimal places.)

χ2 =
df =
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.   

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