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8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.

8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.
Transcribed Image Text:8.49 Social interaction of mental patients. The Community Mental Health Journal (Aug. 2000) presented the results of a survey of over 6,000 clients of the Department of Mental Health and Addiction Services (DMHÁS) in Connecticut. One of the many variables measured for each mental health patient was frequency of social interaction (on a 5-point scale, where 1 = very infrequently, 3 = occasionally, and 5 = very fre- quently). The 6,681 clients who were evaluated had a mean so- cial interaction score of 2.95 with a standard deviation of 1.10. a. Conduct a hypothesis test (at a = .01) to determine whether the true mean social interaction score of all Con- necticut mental health patients differs from 3. b. Examine the results of the study from a practical view, and then discuss why “statistical significance" does not always imply "practical significance." c. Because the variable of interest is measured on a 5-point scale, it is unlikely that the population of rat- ings will be normally distributed. Consequently, some analysts may perceive the test from part a to be invalid and search for alternative methods of analysis. Defend or refute this position.
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