What is the null and alternative hypothesis for the test? What is the p-value for this test? Write your conclusion based on this data analysis? Based on the data we can conclude that subjects who participate in reminiscence therapy experience have a decline in GDS depression scores observed at a 1% level of significance. What assumptions must be made in this experiment? Are all assumptions satisfied? Explain.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Ellen Davis Jones studied the effects of reminiscence therapy for older women with depression. She studied 15 women 60 years or older residing for 3 months or longer in an assisted living long-term care facility.   For this study, depression was measured by the Geriatric Depression Scale (GDS). Higher scores indicate more severe depression symptoms. The participants received reminiscence therapy for long-term care, which uses family photographs, scrapbooks, and personal memorabilia to stimulate memory and conversation among group members. Pre-treatment and post-treatment depression scores are given in the following table. Can we conclude, based on these data, that subjects who participate in reminiscence therapy exercise, on average, a decline in GDS depression scores? Assume that alpha = 0.01.                         

Pre-GDS

12

10

16

2

12

18

11

16

10

14

Post-GDS

11

10

11

3

9

13

8

14

10

12

What is the null and alternative hypothesis for the test?

What is the p-value for this test?

Write your conclusion based on this data analysis?

Based on the data we can conclude that subjects who participate in reminiscence therapy experience have a decline in GDS depression scores observed at a 1% level of significance.

What assumptions must be made in this experiment?

Are all assumptions satisfied? Explain.

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