The data collected included information concerning pet owner characteristics and
ID: 3249971 • Letter: T
Question
The data collected included information concerning pet owner characteristics and the type of pet owned. Here is a table of counts of subjects classified by pet ownership status and education level: Test whether there is an association between Pet ownership and Education level. State the null and alternative hypotheses. Compute the test statistic and its P - value. Report your conclusion. Also conduct the test using alpha = 1 % using the critical value method. Report the expected frequencies in the space provided in the accompanied table.Explanation / Answer
Answer:
Ho: There is no association between pet ownership and education level.
H1: There is association between pet ownership and education level.
Chi-Square Test
Observed Frequencies
Ownership
Calculations
Row variable
Non pet
Dog
Cat
Total
fo-fe
Less tha high school
421
93
28
542
-10.4561
19.7507
-9.2946
Highschool
666
100
40
806
24.3881
-8.9279
-15.4602
Post secondary
845
135
99
1079
-13.9320
-10.8228
24.7548
Total
1932
328
167
2427
Expected Frequencies
Ownership
Row variable
Non pet
Dog
Cat
Total
(fo-fe)^2/fe
Less tha high school
431.4561
73.2493
37.2946
542
0.2534
5.3255
2.3164
Highschool
641.6119
108.9279
55.4602
806
0.9270
0.7317
4.3097
Post secondary
858.9320
145.8228
74.2452
1079
0.2260
0.8033
8.2538
Total
1932
328
167
2427
Data
Level of Significance
0.01
Number of Rows
3
Number of Columns
3
Degrees of Freedom
4
Results
Critical Value
13.2767
Chi-Square Test Statistic
23.1468
p-Value
0.0001
Reject the null hypothesis
Calculated chi square =23.1468, P=0.0001
Calculated chi square =23.1468 > 13.2767 critical value at 0.01 level.
Ho is rejected.
There is an association between pet ownership and education level.
Chi-Square Test
Observed Frequencies
Ownership
Calculations
Row variable
Non pet
Dog
Cat
Total
fo-fe
Less tha high school
421
93
28
542
-10.4561
19.7507
-9.2946
Highschool
666
100
40
806
24.3881
-8.9279
-15.4602
Post secondary
845
135
99
1079
-13.9320
-10.8228
24.7548
Total
1932
328
167
2427
Expected Frequencies
Ownership
Row variable
Non pet
Dog
Cat
Total
(fo-fe)^2/fe
Less tha high school
431.4561
73.2493
37.2946
542
0.2534
5.3255
2.3164
Highschool
641.6119
108.9279
55.4602
806
0.9270
0.7317
4.3097
Post secondary
858.9320
145.8228
74.2452
1079
0.2260
0.8033
8.2538
Total
1932
328
167
2427
Data
Level of Significance
0.01
Number of Rows
3
Number of Columns
3
Degrees of Freedom
4
Results
Critical Value
13.2767
Chi-Square Test Statistic
23.1468
p-Value
0.0001
Reject the null hypothesis
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.