I could used help answering this statistics equation. I need to be able to see h
ID: 3397815 • Letter: I
Question
I could used help answering this statistics equation. I need to be able to see how the equation was done so I can learn to do it myself. Thank you 15) A political scientist is examining the relationship between income (X) and support for immigration reform (Y) the following data: Among the 27 individuals with high incomes, 16 had high support, 6 had moderate support, and 5 had low support; Among the 48 individuals with moderate income, 18 had high support, 19 had moderate support, and 11; Among the 35 individuals with low income, 6 had high support, 12 had moderate support, and 17 had low support. Use the proper technique to determine the correlation between income and level of support for immigration. Is the result significant or not?-6 pointsExplanation / Answer
Chi test for association is used.
Null hypothesis: There is no association between income and support
Alternate hypothesis: There is a association between income and support
Chi-Square Test
Observed Frequencies
support
income
high
moderate
low
Total
high
16
6
5
27
moderate
18
19
11
48
low
6
12
17
35
Total
40
37
33
110
Expected Frequencies
support
income
high
moderate
low
Total
high
40*27/110 = 9.8182
37*27/110 =9.0818
33*27/110 =8.1000
27
moderate
40*48/110 =17.4545
37*48/110 =16.1455
33*48/110 =14.4000
48
low
40*35/110 =12.7273
37*35/110 =11.7727
33*35/110 =10.5000
35
Total
40
37
33
110
Calculations
fo-fe
6.1818
-3.0818
-3.1000
0.5455
2.8545
-3.4000
-6.7273
0.2273
6.5000
(fo-fe)^2/fe
3.8923
1.0458
1.1864
0.0170
0.5047
0.8028
3.5558
0.0044
4.0238
Data
Level of Significance
0.05
Number of Rows
3
Number of Columns
3
Degrees of Freedom
4
Results
Critical Value
9.488
Chi-Square Test Statistic
15.0330
Calculated chi square =15.033 > 9.488 table value at 0.05 level
The null hypothesis is rejected.
There is significance association between income and support.
Chi-Square Test
Observed Frequencies
support
income
high
moderate
low
Total
high
16
6
5
27
moderate
18
19
11
48
low
6
12
17
35
Total
40
37
33
110
Expected Frequencies
support
income
high
moderate
low
Total
high
40*27/110 = 9.8182
37*27/110 =9.0818
33*27/110 =8.1000
27
moderate
40*48/110 =17.4545
37*48/110 =16.1455
33*48/110 =14.4000
48
low
40*35/110 =12.7273
37*35/110 =11.7727
33*35/110 =10.5000
35
Total
40
37
33
110
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