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.)   What is the conclusion of the independence​ test?   Reject Do not reject H0. The data do not provide provide sufficient evidence that BMD and depression are statistically dependent.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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.)
 
What is the conclusion of the independence​ test?
 
Reject
Do not reject
H0.
The data
do not provide
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?
Click on the icon to view the data table.
Data table
Osteoporotic
Low BMD
Normal
Total
Depressed Not depressed
1
75
90
166
36
534
1258
1828
Total
37
609
1348
1994
I
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? Click on the icon to view the data table. Data table Osteoporotic Low BMD Normal Total Depressed Not depressed 1 75 90 166 36 534 1258 1828 Total 37 609 1348 1994 I
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