Assume you're interested in the mental health effects of the "caregivers" caring for th elderly with Alzheimer's disease. Specifically, you expect that such caregivers will suffer from significantly elevated levels of depression as compared to the general population. To measure depression in care-givers, you use a standard test of depression (STD) on which scores range from zero to 40, with high scores indicating higher levels of clinical depression. The mean in the general (normal) population of on this test is µ = 20. You get permission from ten caregivers who have worked in a ocal assisted living facility for Alzheimer's patients for over two years to participate in wour study. They are administered the STD and their scores are below. 8, 33, 32, 22, 31, 29, 21, 26, 17, 25 16

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**Study on Depression in Caregivers for Alzheimer's Patients**

Assume you're interested in the mental health effects on the "caregivers" caring for the elderly with Alzheimer's disease. Specifically, you expect that such caregivers will suffer from significantly elevated levels of depression compared to the general population. To measure depression in caregivers, you utilize a standard test of depression (STD) where scores range from zero to 40, with higher scores indicating higher levels of clinical depression. The mean in the general (normal) population for this test is μ = 20. You obtain permission from ten caregivers, who have worked in a local assisted living facility for Alzheimer's patients for over two years, to participate in your study. They are administered the STD, and their scores are as follows:

18, 33, 32, 22, 31, 29, 21, 26, 17, 25

**Hypothesis Testing Instructions**

Set your alpha level at α = .01. Complete steps 3 and 4 of the hypothesis testing procedure. Then, summarize the results of the hypothesis testing procedure by writing your results in journal form. Ignore the minus sign if your calculated z or t is negative. [Note: If your calculated z or t is not identical to one of the values below, but within plus or minus 0.2 of an answer listed below, assume it’s a rounding error and choose the answer closest to your calculated value.]

Options for your calculated test statistic:

- t(9) = 2.95, p < .01
- z = 25.4, p < .01
- t(10) = 2.821, p < .01
- t(9) = 2.65, p < .01
Transcribed Image Text:**Study on Depression in Caregivers for Alzheimer's Patients** Assume you're interested in the mental health effects on the "caregivers" caring for the elderly with Alzheimer's disease. Specifically, you expect that such caregivers will suffer from significantly elevated levels of depression compared to the general population. To measure depression in caregivers, you utilize a standard test of depression (STD) where scores range from zero to 40, with higher scores indicating higher levels of clinical depression. The mean in the general (normal) population for this test is μ = 20. You obtain permission from ten caregivers, who have worked in a local assisted living facility for Alzheimer's patients for over two years, to participate in your study. They are administered the STD, and their scores are as follows: 18, 33, 32, 22, 31, 29, 21, 26, 17, 25 **Hypothesis Testing Instructions** Set your alpha level at α = .01. Complete steps 3 and 4 of the hypothesis testing procedure. Then, summarize the results of the hypothesis testing procedure by writing your results in journal form. Ignore the minus sign if your calculated z or t is negative. [Note: If your calculated z or t is not identical to one of the values below, but within plus or minus 0.2 of an answer listed below, assume it’s a rounding error and choose the answer closest to your calculated value.] Options for your calculated test statistic: - t(9) = 2.95, p < .01 - z = 25.4, p < .01 - t(10) = 2.821, p < .01 - t(9) = 2.65, p < .01
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