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The document discusses gathering sample sizes to test the hypothesis that individuals with mental health diagnoses leaving jail will be more likely to recidivate than those without diagnoses. It asks how to gather a proportionate stratified sample of 100 individuals, with 40% having diagnoses and 60% not. It also asks how to gather a disproportionate stratified sample with the same population percentages.

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(5) You are interested in studying the relationship between mental health and the likelihood to recidivate for individuals leaving a local jail. Your hypothesis is that individuals with a formal mental health diagnosis will be more likely to recidivate than individuals without a formal diagnosis. You want to collect a sample size of 100 individuals. Explain how you would gather a proportionate stratified sample in order to test this hypothesis? Now, suppose we know that 40% of individuals leaving jail have a known mental health diagnosis, while 60% of individuals do not. Explain how you would gather a disproportionate stratified sample in order to test this hypothesis?

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  • 1. (5) You are interested in studying the relationship between mental health and the likelihood to recidivate for individuals leaving a local jail. Your hypothesis is that individuals with a formal mental health diagnosis will be more likely to recidivate than individuals without a formal diagnosis. You want to collect a sample size of 100 individuals. Explain how you would gather a proportionate stratified sample in order to test this hypothesis? Now, suppose we know that 40% of individuals leaving jail have a known mental health diagnosis, while 60% of individuals do not. Explain how you would gather a disproportionate stratified sample in order to test this hypothesis?