| Ho: There is no association between age and income level. |
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| Ha: There is an association between age and income level |
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Annual Income |
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Expected |
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| Age Category |
$25,000-$35,000 |
$35,001-$50,000 |
Over $50,000 |
Total |
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Age Category |
$25,000-$35,000 |
$35,001-$50,000 |
Over $50,000 |
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| 21-30 |
8 |
15 |
27 |
50 |
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21-30 |
11.35 |
15.46 |
23.19 |
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| 31-45 |
22 |
32 |
35 |
89 |
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31-45 |
20.21 |
27.52 |
41.28 |
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| 46-60 |
12 |
14 |
27 |
53 |
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46-60 |
12.03 |
16.39 |
24.58 |
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| Over 60 |
5 |
3 |
7 |
15 |
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Over 60 |
3.41 |
4.64 |
6.96 |
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| Total |
47 |
64 |
96 |
207 |
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| Actual - Expected |
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(Actual - Expected)^2 |
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| Age Category |
$25,000-$35,000 |
$35,001-$50,000 |
Over $50,000 |
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Age Category |
$25,000-$35,000 |
$35,001-$50,000 |
Over $50,000 |
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| 21-30 |
-3.35 |
-0.46 |
3.81 |
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21-30 |
11.24 |
0.21 |
14.53 |
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| 31-45 |
1.79 |
4.48 |
-6.28 |
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31-45 |
3.21 |
20.1 |
39.38 |
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| 46-60 |
-0.03 |
-2.39 |
2.42 |
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46-60 |
0 |
5.7 |
5.86 |
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| Over 60 |
1.59 |
-1.64 |
0.04 |
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Over 60 |
2.54 |
2.68 |
0 |
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| ((Actual - Expected)^2)/Expected count |
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| Age Category |
$25,000-$35,000 |
$35,001-$50,000 |
Over $50,000 |
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| 21-30 |
0.99 |
0.01 |
0.63 |
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| 31-45 |
0.16 |
0.73 |
0.95 |
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| 46-60 |
0 |
0.35 |
0.24 |
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| Over 60 |
0.75 |
0.58 |
0 |
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Part a: |
43 |
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Part B |
36.46 |
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| Chi-Square Statistic |
5.38 |
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| 6 df |
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| P-value > 0.25 |
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| Due to the high p-value, there is no evidence of an association between age and income. |
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