A study was conducted to investigate the use of community-based treatment Ecaid 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 After a specified period of time, the number of nity crisis center in the previous three months was determined. Among the individuals assigned to the prepaid plan, 13 had visited a crisis center; among those receiving traditional Medicaid, 22 had visited a center. programs among Med- program. persons in each group who had visited a commu- (a) For each group, estimate the proportion of patients who had visited a community crisis center in the previous three months. (b) At the 0.10 level of significance, test the null hypothesis that the proportions are identical in the two populations. (c) What do you conclude?

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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 individuals assigned to the prepaid plan, 13 had visited a crisis center; among those receiving traditional Medicaid, 22 had visited a center.

(a) For each group, estimate the proportion of patients who had visited a community crisis center in the previous three months.

(b) At the 0.10 level of significance, test the null hypothesis that the proportions are identical in the two populations.

(c) What do you conclude?
Transcribed Image Text: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 individuals assigned to the prepaid plan, 13 had visited a crisis center; among those receiving traditional Medicaid, 22 had visited a center. (a) For each group, estimate the proportion of patients who had visited a community crisis center in the previous three months. (b) At the 0.10 level of significance, test the null hypothesis that the proportions are identical in the two populations. (c) What do you conclude?
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