Question

In: Statistics and Probability

1.A study of complaints by Health Maintenance Organization members compared those who filed complaints about medical...

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

Solutions

Expert Solution

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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