A marijuana, wanted to find out if men and women have different opinions about t
ID: 3250273 • Letter: A
Question
A marijuana, wanted to find out if men and women have different opinions about the legalization of marijuana, so she selects a random sample of 10 men and 12 women and asks them whether they agree or disagree with the statement: "The use of marijuana should be legalized." Their responses are tallied below. First, determine what percentage of men and women said yes (and no). Then, conduct the appropriate statistical test to determine whether men and women have different opinions on this issue. Use the .01 level of significance. A) What are the null and alternative hypotheses? B) What is your statistical decision? C) Do men and women have different opinions?Explanation / Answer
Answer:
Men
women
Total
Agree
Observed
8
5
13
% of column
80.0%
41.7%
59.1%
Disagree
Observed
2
7
9
% of column
20.0%
58.3%
40.9%
Total
Observed
10
12
22
% of column
100.0%
100.0%
100.0%
Chi-Square Test
Observed Frequencies
Column variable
Calculations
Row variable
Men
women
Total
fo-fe
Agree
8
5
13
2.0909
-2.0909
Disagree
2
7
9
-2.0909
2.0909
Total
10
12
22
Expected Frequencies
Column variable
Row variable
Men
women
Total
(fo-fe)^2/fe
Agree
5.9091
7.0909
13
0.7399
0.6166
Disagree
4.0909
4.9091
9
1.0687
0.8906
Total
10
12
22
Data
Level of Significance
0.01
Number of Rows
2
Number of Columns
2
Degrees of Freedom
1
Results
Critical Value
6.635
Chi-Square Test Statistic
3.3157
p-Value
0.0686
Do not reject the null hypothesis
A).
Ho: Mean and women have same opinions on this issue.
H1: Mean and women have different opinions on this issue
B).
Calculated chi square =3.3157 < 6.635 critical value.
Retain Ho.
C).
No.
Men
women
Total
Agree
Observed
8
5
13
% of column
80.0%
41.7%
59.1%
Disagree
Observed
2
7
9
% of column
20.0%
58.3%
40.9%
Total
Observed
10
12
22
% of column
100.0%
100.0%
100.0%
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