In: Statistics and Probability
Using an appropriate statistical test, conduct, analyze and interpret results. Does the presence of health insurance impact obesity rates?
Total under norm over obese
18–44 |
112,149 |
2,706 |
43,203 |
34,044 |
29,066 |
45–64 |
82,605 |
784 |
22,052 |
29,266 |
26,930 |
Private |
129,666 |
2,046 |
45,107 |
42,921 |
35,348 |
Medicaid |
23,239 |
618 |
6,952 |
6,384 |
8,303 |
Other |
9,095 |
164 |
2,296 |
3,207 |
3,244 |
Uninsured |
31,587 |
615 |
10,303 |
10,594 |
8,889 |
Observed frequencies:
Total | Under | Norm | Over | Obese | Marginal totals | |
18–44 | 112,149=O11 | 2,706=O12 | 43,203=O13 | 34,044=O14 | 29,066=O15 | 221,168=O10 |
45–64 | 82,605=O21 | 784=O22 | 22,052=O23 | 29,266=O24 | 26,930=O25 | 161,637=O20 |
Private | 129,666=O31 | 2,046=O32 | 45,107=O33 | 42,921=O34 | 35,348=O35 | 255,088=O30 |
Medicaid | 23,239=O41 | 618=O42 | 6,952=O43 | 6,384=O44 | 8,303=O45 | 45,496=O40 |
Other | 9,095=O51 | 164=O52 | 2,296=O53 | 3,207=O54 | 3,244=O55 | 18,006=O50 |
Uninsured | 31,587=O61 | 615=O62 | 10,303=O63 | 10,594=O64 | 8,889=O65 | 61,988=O60 |
Marginal totals | 388,341=O01 | 6,933=O02 | 129,913=O03 | 126,416=O04 | 111,780=O05 | 763,383=N |
Expected frequencies:
Total | Under | Norm | Over | Obese | |
18–44 | 112510.5 | 2008.635 | 37638.51 | 36625.36 | 32385 |
45–64 | 82226.45 | 1467.978 | 27507.49 | 26767.04 | 23668.05 |
Private | 129766 | 2316.694 | 43411.04 | 42242.5 | 37351.81 |
Medicaid | 23144.3 | 413.192 | 7742.538 | 7534.124 | 6661.85 |
Other | 9159.843 | 163.5294 | 3064.272 | 2981.788 | 2636.567 |
Uninsured | 31533.95 | 562.9714 | 10549.16 | 10265.19 | 9076.726 |
Total | Under | Norm | Over | Obese | |
18–44 | 1.1615 | 242.1137 | 822.6562 | 181.934 | 340.1503 |
45–64 | 1.7427 | 318.6871 | 1081.972 | 233.302 | 449.5658 |
Private | 0.077 | 31.6293 | 66.2572 | 10.8982 | 107.4982 |
Medicaid | 0.3875 | 101.5177 | 80.7165 | 175.5726 | 404.2982 |
Other | 0.459 | 0.0014 | 192.6208 | 17.01 | 139.945 |
Uninsured | 0.0892 | 4.8084 | 5.7439 | 10.532 | 3.8826 |
Since P-value<0.05, there is sufficient evidence to conclude that the presence of health insurance has impact on obesity rates.