A researcher wanted to determine if there is a difference between men and women
ID: 3230043 • Letter: A
Question
A researcher wanted to determine if there is a difference between men and women in their opinions of online dating (like match.com). She surveys 20 men and 32 women and asks each one whether or not he/she would consider using this method as a way of meeting someone. Their responses are below. Use the appropriate statistical test to determine whether men and women are significantly different in this regard. Set alpha at .05. Symbolically represent the null and alternative hypotheses: H_0: fo ___ fe H_a: fo __ fe State your statistical decision using hypothesis-testing language: Retain H_0 [] Reject H_0 [] Answer the research question: Do men and women haw different opinions on this issue? Yes []No []Explanation / Answer
The results are as follows:
fo
Men
Women
total
Yes
7
15
22
No
13
17
30
total
20
32
52
%
Men
Women
total
Yes
13%
29%
42%
No
25%
33%
58%
total
38%
62%
100%
fe
Men
Women
total
Yes
8.46
13.54
22
No
11.54
18.46
30
total
20
32
52
a
b
c
d
Total
fo
7.00
15.00
13.00
17.00
52.00
fe
8.46
13.54
11.54
18.46
52.00
f0-fe
-1.46
1.46
1.46
-1.46
0.00
(fo-fe)^2
2.13
2.13
2.13
2.13
8.53
(fo-fe)^2/fe
0.25
0.16
0.18
0.12
0.71
Chi-square=
0.71
df
1
p-value=
0.3994
H0: f0=fe
Ha: f0fe
Do not reject H0
No different opinions
fo
Men
Women
total
Yes
7
15
22
No
13
17
30
total
20
32
52
%
Men
Women
total
Yes
13%
29%
42%
No
25%
33%
58%
total
38%
62%
100%
fe
Men
Women
total
Yes
8.46
13.54
22
No
11.54
18.46
30
total
20
32
52
a
b
c
d
Total
fo
7.00
15.00
13.00
17.00
52.00
fe
8.46
13.54
11.54
18.46
52.00
f0-fe
-1.46
1.46
1.46
-1.46
0.00
(fo-fe)^2
2.13
2.13
2.13
2.13
8.53
(fo-fe)^2/fe
0.25
0.16
0.18
0.12
0.71
Chi-square=
0.71
df
1
p-value=
0.3994
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