On the following pages you are presented with five problems. Your job is to examine the output and discuss whether there is a statistically significant relationship between the two variables, the pattern or direction of the relationship if the relationship is significant, and the strength of the relationship if the relationship is significant. As you discuss the strength of the relationship, you will rely on an appropriate measure of association from those that have been given. For that determination, you will need to appropriately determine the level of measurement of each of the variables being examined. Please use the Measures of Association Chart I provided to help you with your determination. You may write narate document or next to the problems on this one.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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On the following pages you are presented with five problems. Your job is to examine the output and discuss whether there
is a statistically significant relationship between the two variables, the pattern or direction of the relationship if the
relationship is significant, and the strength of the relationship if the relationship is significant. AS you discuss the strength
of the relationship, you will rely on an appropriate measure of association from those that have been given. For that
determination, you will need to appropriately determine the level of measurement of each of the variables being
examined. Please use the Measures of Association Chart I provided to help you with your determination. You may write
your responses on a separate document or next to the problems on this one.
Transcribed Image Text:On the following pages you are presented with five problems. Your job is to examine the output and discuss whether there is a statistically significant relationship between the two variables, the pattern or direction of the relationship if the relationship is significant, and the strength of the relationship if the relationship is significant. AS you discuss the strength of the relationship, you will rely on an appropriate measure of association from those that have been given. For that determination, you will need to appropriately determine the level of measurement of each of the variables being examined. Please use the Measures of Association Chart I provided to help you with your determination. You may write your responses on a separate document or next to the problems on this one.
Count
4. Does race (RACECEN) have an effect on gun ownership (OWNGUN)?
Have gun in home * Race or ethnicity Crosstabulation
Race or ethnicity
American
Asian
Indian and
Alaska
and Pacific
Islander
Hispanic Total
Black
15
536
58
Have gun in
YES
Count
39.9%
22.6%
32.0%
10.0%
18.1%
34.7%
home
%within Race or
ethnicity
45
67
971
648
194
17
NO
57.4%
75.5%
68.0%
90.0%
80.7%
62.9%
othnigty
REFUSED Count
31
1
37
2.7%
1.9%
0.0%
0.0%
1.2%
2.4%
ethniaty
Count
1129
257
25
50
83
1544
Total
%within Race or
100.0%
100,0%
100.0%
100.0%
100.0%
100.0%
othniity
Chi-Square Tests
Asymplotic
Significance (2-
Value
df
sided)
Pearson Chi-Square
60.129
000
Likelihood Ratio
66.806
8
000
Linear-by-Linear Association
28.616
.000
Nof Valid Cases
1544
a, 3 cells (20.0%)have expected countless than 5. The minimum
expected count is .60
Directional Measures
Asymptoic
Standard
Approximate Approximate
Value
Error
T.
Significance
Nominal by
Lambda
Symmetric
.000
.000
Nominal
Have gun in home
.000
.000
Dependent
Race or ethnicity
.000
.000
Dependent
Goodman and Kruskal
Have gun in home
.035
.008
.000
tau
Dependent
Race or ethnicity
.022
.006
.000
Dependent
a. Notassuming the null hypothesis.
b. Cannot be computed because the asymptotic standard error equals zero.
c. Based on chi-square approximation
Symmetric Measures
Approximate
Value
Significance
Nominal by Nominal
Phi
.197
.000
Cramer's V
140
.000
Nof Valid Cases
1544
Transcribed Image Text:Count 4. Does race (RACECEN) have an effect on gun ownership (OWNGUN)? Have gun in home * Race or ethnicity Crosstabulation Race or ethnicity American Asian Indian and Alaska and Pacific Islander Hispanic Total Black 15 536 58 Have gun in YES Count 39.9% 22.6% 32.0% 10.0% 18.1% 34.7% home %within Race or ethnicity 45 67 971 648 194 17 NO 57.4% 75.5% 68.0% 90.0% 80.7% 62.9% othnigty REFUSED Count 31 1 37 2.7% 1.9% 0.0% 0.0% 1.2% 2.4% ethniaty Count 1129 257 25 50 83 1544 Total %within Race or 100.0% 100,0% 100.0% 100.0% 100.0% 100.0% othniity Chi-Square Tests Asymplotic Significance (2- Value df sided) Pearson Chi-Square 60.129 000 Likelihood Ratio 66.806 8 000 Linear-by-Linear Association 28.616 .000 Nof Valid Cases 1544 a, 3 cells (20.0%)have expected countless than 5. The minimum expected count is .60 Directional Measures Asymptoic Standard Approximate Approximate Value Error T. Significance Nominal by Lambda Symmetric .000 .000 Nominal Have gun in home .000 .000 Dependent Race or ethnicity .000 .000 Dependent Goodman and Kruskal Have gun in home .035 .008 .000 tau Dependent Race or ethnicity .022 .006 .000 Dependent a. Notassuming the null hypothesis. b. Cannot be computed because the asymptotic standard error equals zero. c. Based on chi-square approximation Symmetric Measures Approximate Value Significance Nominal by Nominal Phi .197 .000 Cramer's V 140 .000 Nof Valid Cases 1544
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