(a)
Some observed frequencies are zero which is suspicious.
(b)
Hypotheses are:
H0: The two variables Political affiliation and religious
preference are independent.
Ha: The two variables Political affiliation and religious
preference are not independent.
Following is the output of chi square test statistics
| Chi-square
Contingency Table Test for Independence |
|
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|
Buddhist |
Jewish |
Protestant |
Rom. Cath. |
Other |
Total |
| |
Democrat |
|
30 |
30 |
40 |
60 |
40 |
200 |
|
Republican |
|
10 |
10 |
40 |
20 |
20 |
100 |
|
Independent |
|
10 |
10 |
20 |
20 |
40 |
100 |
|
Other |
|
0 |
0 |
0 |
0 |
100 |
100 |
|
Total |
|
50 |
50 |
100 |
100 |
200 |
500 |
|
|
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|
|
220.00 |
chi-square |
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|
12 |
df |
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|
2.37E-40 |
p-value |
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|
.663 |
Phi coefficient |
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|
.383 |
Cramér's V |
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|
The p-value of the test is;
p-value = 0.0000
Since p-value is less than 0.05 so we reject the null
hypothesis.
That is we can not conclude that the two variables Political
affiliation and religious preference are independent.
(c)
The effect size is: 0.663
It is large effect size.
