1. A group of people were selected and polled about their opinion on imposing ne
ID: 3361038 • Letter: 1
Question
1. A group of people were selected and polled about their opinion on imposing new knife control laws. Everyone was asked other questions about themselves as well party.
Sex
Party
Favor Knife Control
Oppose Knife Control
Male
Democratic
72
31
Male
Republican
41
83
Male
Other
16
14
Female
Democratic
88
38
Female
Republican
65
74
Female
Other
14
12
a). Create a side-by-side vertical bar chart of the opinions separated by sex. Note, the opinions (favor knife control and oppose gun control) are the variable of interest or the dependent variable so this should be on the y-axis. Use the freq = <count variable> and type = percent to show the percent on the y-axis rather than count. In a sentence or two, describe what you see
b). Perform a Chi-square and/or Fisher's Exact test (you decide which is appropriate) to determine if there is a difference in opinion on knife control based on sex. In your table only include the frequency, percentage, expected value and deviation.
i. State your null and alternative hypothesis
ii. State which statistical test you are analyzing (Chi - square or Fisher's Exact Test), the test statistic, p-value and conclusion at a significance level of 0.05.
iii. Answer the following question: Does it appear that there is a difference in the opinion on knife control based on sex
Sex
Party
Favor Knife Control
Oppose Knife Control
Male
Democratic
72
31
Male
Republican
41
83
Male
Other
16
14
Female
Democratic
88
38
Female
Republican
65
74
Female
Other
14
12
Explanation / Answer
Result:
a). Create a side-by-side vertical bar chart of the opinions separated by sex. Note, the opinions (favor knife control and oppose gun control) are the variable of interest or the dependent variable so this should be on the y-axis. Use the freq = <count variable> and type = percent to show the percent on the y-axis rather than count. In a sentence or two, describe what you see
b). Perform a Chi-square and/or Fisher's Exact test (you decide which is appropriate) to determine if there is a difference in opinion on knife control based on sex. In your table only include the frequency, percentage, expected value and deviation.
i. State your null and alternative hypothesis
H0: There is no association between knife control and party
H1: There is association between knife control and party
ii. State which statistical test you are analyzing (Chi - square or Fisher's Exact Test), the test statistic, p-value and conclusion at a significance level of 0.05.
chi square test. used.
Test for male, chi square =30.66, P=0.000. Ho is rejected.
There is association between knife control and party for male.
Test for female, chi square =14.541, P=0.0007. Ho is rejected.
There is association between knife control and party for female.
iii. Answer the following question: Does it appear that there is a difference in the opinion on knife control based on sex
From the tests, that there is no difference in the opinion on knife and party based on sex.
Chi-Square Test for male
Observed Frequencies
Column variable
Calculations
Row variable
Favor Knife Control
Oppose Knife Control
Total
fo-fe
Democratic
72
31
103
20.29961
-20.2996
Republican
41
83
124
-21.2412
21.24125
Other
16
14
30
0.941634
-0.94163
Total
129
128
257
Expected Frequencies
Column variable
Row variable
Favor Knife Control
Oppose Knife Control
Total
(fo-fe)^2/fe
Democratic
51.70039
51.29961
103
7.970427
8.032696
Republican
62.24125
61.75875
124
7.24906
7.305693
Other
15.05837
14.94163
30
0.058883
0.059343
Total
129
128
257
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
2
Degrees of Freedom
2
Results
Critical Value
5.991465
Chi-Square Test Statistic
30.6761
p-Value
2.18E-07
Reject the null hypothesis
c
Observed Frequencies
Column variable
Calculations
Row variable
Favor Knife Control
Oppose Knife Control
Total
fo-fe
Democratic
88
38
126
15.69072
-15.6907
Republican
65
74
139
-14.7698
14.76976
Other
14
12
26
-0.92096
0.920962
Total
167
124
291
Expected Frequencies
Column variable
Row variable
Favor Knife Control
Oppose Knife Control
Total
(fo-fe)^2/fe
Democratic
72.30928
53.69072
126
3.404802
4.585499
Republican
79.76976
59.23024
139
2.734693
3.683014
Other
14.92096
11.07904
26
0.056844
0.076556
Total
167
124
291
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
2
Degrees of Freedom
2
Results
Critical Value
5.991465
Chi-Square Test Statistic
14.54141
p-Value
0.000696
Reject the null hypothesis
Chi-Square Test for male
Observed Frequencies
Column variable
Calculations
Row variable
Favor Knife Control
Oppose Knife Control
Total
fo-fe
Democratic
72
31
103
20.29961
-20.2996
Republican
41
83
124
-21.2412
21.24125
Other
16
14
30
0.941634
-0.94163
Total
129
128
257
Expected Frequencies
Column variable
Row variable
Favor Knife Control
Oppose Knife Control
Total
(fo-fe)^2/fe
Democratic
51.70039
51.29961
103
7.970427
8.032696
Republican
62.24125
61.75875
124
7.24906
7.305693
Other
15.05837
14.94163
30
0.058883
0.059343
Total
129
128
257
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
2
Degrees of Freedom
2
Results
Critical Value
5.991465
Chi-Square Test Statistic
30.6761
p-Value
2.18E-07
Reject the null hypothesis
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