In: Statistics and Probability
1.A study of complaints by Health Maintenance Organization members compared those who filed complaints about medical treatment with a random sample of members who did not complain that year. Below are the data on the total number in each group and the number who voluntarily left the HMO. In the blank below report the observed value of the test statistic (e.g., observed z, observed t, or observed χ2) you will use for hypothesis testing.
No complaint |
Medical complaint |
|
Stayed: |
15 |
15 |
Left |
11 |
3 |
2.
Enter the critical value of the statistic (z, t, or X2) you need for alpha = .05.
3. Do we reject H0 or fail to reject?
4. State your conclusions based on your results from this study using an APA style sentence with the correct format for presenting the results of an inferential test.
HELP ASAP
1. 3.223
2. 3.841
3. fail to reject HO
4. Those who filed complaints about medical treatment with a random sample of members who did not complain that year are the same.
Col 1 | Col 2 | Total | ||
Row 1 | Observed | 15 | 15 | 30 |
Expected | 17.73 | 12.27 | 30.00 | |
O - E | -2.73 | 2.73 | 0.00 | |
(O - E)² / E | 0.42 | 0.61 | 1.03 | |
Row 2 | Observed | 11 | 3 | 14 |
Expected | 8.27 | 5.73 | 14.00 | |
O - E | 2.73 | -2.73 | 0.00 | |
(O - E)² / E | 0.90 | 1.30 | 2.20 | |
Total | Observed | 26 | 18 | 44 |
Expected | 26.00 | 18.00 | 44.00 | |
O - E | 0.00 | 0.00 | 0.00 | |
(O - E)² / E | 1.32 | 1.90 | 3.22 | |
3.841 | critical value | |||
3.223 | chi-square | |||
1 | df | |||
.0726 | p-value |
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