A study was conducted to investigate the use of community-based treatment programs among Medicaid beneficiaries suffering from severe mental illness. The study involved assigning a sample of 311 patients to a prepaid medical plan and a sample of 310 patients to the traditional Medicaid program. After a specified period of time, the number of persons in each group who had visited a community crisis center in the previous three months was determined. Among the subjects assigned to the prepaid plan, 13 had visited a crisis center; among those receiving traditional Medicaid, 22 had visited a crisis center. a. Using Stata, test the null hypothesis that the proportions are identical in the two populations, at the 0.10 significance level. b. From the Stata output, what are your estimates of the two proportions? c. Using the information from the Stata output, calculate the 95% confidence interval for the true difference between the proportions.
3. A study was conducted to investigate the use of community-based treatment programs among Medicaid beneficiaries suffering from severe mental illness. The study involved assigning a sample of 311 patients to a prepaid medical plan and a sample of 310 patients to the traditional Medicaid program. After a specified period of time, the number of persons in each group who had visited a community crisis center in the previous three months was determined. Among the subjects assigned to the prepaid plan, 13 had visited a crisis center; among those receiving traditional Medicaid, 22 had visited a crisis center.
a. Using Stata, test the null hypothesis that the proportions are identical in the two populations, at the 0.10 significance level.
b. From the Stata output, what are your estimates of the two proportions?
c. Using the information from the Stata output, calculate the 95% confidence interval for the true difference between the proportions.
d. Use Stata to determine how much power you have to detect the observed difference at the 5% significance level
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