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

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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.
 
χ2=
​(Round to three decimal places as​ needed.)
 
Find the critical value.
 
χ2α=
​(Round to three decimal places as​ needed.)
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
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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Follow-up Question
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
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
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