Researchers studied the bone mineral density (BMD) and depression of men aged 65 to 92 years. At the 1% significance level, do the data in the table (taken from a random sample) provide sufficient evidence to conclude that BMD and depression are statistically dependent for elderly men? Data table Osteoporotic Low BMD Normal Total Depressed Not depressed 4 statistically dependent 70 90 164 31 537 1231 1799 Print What is the conclusion of the independence test? Ho. The data Total 35 607 1321 1963 Done > sufficient evidence that BMD and depression are
Researchers studied the bone mineral density (BMD) and depression of men aged 65 to 92 years. At the 1% significance level, do the data in the table (taken from a random sample) provide sufficient evidence to conclude that BMD and depression are statistically dependent for elderly men? Data table Osteoporotic Low BMD Normal Total Depressed Not depressed 4 statistically dependent 70 90 164 31 537 1231 1799 Print What is the conclusion of the independence test? Ho. The data Total 35 607 1321 1963 Done > sufficient evidence that BMD and depression are
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
What are the null and alternative hypotheses?
H0:
BMD is dependent upon depression in elderly men.Ha:
Depression is dependent upon BMD in elderly men.H0:
Depression and BMD in elderly men are statistically independent.Ha:
Depression and BMD in elderly men are statistically dependent.H0:
Depression and BMD in elderly men are statistically dependent.Ha:
Depression and BMD in elderly men are statistically independent.Find the test statistic.
χ2=
(Round to three decimal places as needed.)Find the critical value.
χ2α=
(Round to three decimal places as needed.)
Transcribed Image Text:Perform a chi-square independence test, provided the conditions for using the test are met.
Researchers studied the bone mineral density (BMD) and depression of men aged 65 to 92
years. At the 1% significance level, do the data in the table (taken from a random sample)
provide sufficient evidence to conclude that BMD and depression are statistically dependent for
elderly men?
Data table
Osteoporotic
Low MD
Normal
Total
Depressed Not depressed
4
statistically dependent.
70
90
164
31
537
1231
1799
Print
What is the conclusion of the independence test?
Ho. The data
Total
35
607
1321
1963
Done
X
sufficient evidence that BMD and depression are
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
Transcribed Image Text:Perform a chi-square independence test, provided the conditions for using the test are met.
Researchers studied the bone mineral density (BMD) and depression of men aged 65 to 92
years. At the 1% significance level, do the data in the table (taken from a random sample)
provide sufficient evidence to conclude that BMD and depression are statistically dependent for
elderly men?
Data table
Osteoporotic
Low BMD
Normal
Total
Depressed Not depressed
1
35
75
535
91
1235
167
1805
Print
Total
36
610
1326
1972
Done
-
X
Solution
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