Question

A recent study of undergraduates looked at gender differences in dieting trends. There were 181 women and 103 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	=

Answer 1

a)

Oi	Women	Men
Yes	38	8
No	143	95

b)

women	20.99%
men	7.77%

c)applying chi square test:

Expected	Ei=row total*column total/grand total	Women	Men	Total
	Yes	29.32	16.68	46
	No	151.68	86.32	238
	total	181	103	284
chi square    χ2	=(Oi-Ei)2/Ei	Women	Men	Total
	Yes	2.5718	4.5193	7.091
	No	0.4971	0.8735	1.371
	total	3.069	5.393	8.462

X² =8.462

df=1

p value =0.0036