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 Find the critical value. Depressed Not depressed 4 70 90 164 31 537 1231 1799 Print (Round to three decimal places as needed.) Total 35 607 1321 1963 Done - X

MATLAB: An Introduction with Applications
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What are the null and alternative​ hypotheses?
 
 
A.
H0​:
BMD is dependent upon depression in elderly men.
Ha​:
Depression is dependent upon BMD in elderly men.
 
B.
H0​:
Depression and BMD in elderly men are statistically independent.
Ha​:
Depression and BMD in elderly men are statistically dependent.
 
C.
H0​:
Depression and BMD in elderly men are statistically dependent.
Ha​:
Depression and BMD in elderly men are statistically independent.
 
find the test statistic?
what is the conclusion of the independence test? do not reject/reject H the data provide/do not provide sufficient evidence that bmd and depression are statistically dependent.
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
x²
Osteoporotic
Low BMD
Normal
Total
Find the critical value.
Depressed Not depressed
4
70
90
164
31
537
1231
1799
Print
(Round to three decimal places as needed.)
Total
35
607
1321
1963
Done
-
X
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 x² Osteoporotic Low BMD Normal Total Find the critical value. Depressed Not depressed 4 70 90 164 31 537 1231 1799 Print (Round to three decimal places as needed.) Total 35 607 1321 1963 Done - X
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