I could used help answering this statistics equation I need

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 points

Solution

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