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. What are the null and alternative hypotheses? OA. Ho: BMD is dependent upon depression in elderly men. H₂: Depression is dependent upon BMD in elderly men. O B. Ho: Depression and BMD in elderly men are statistically dependent. H: Depression and BMD in elderly men are statistically independent. O C. Ho: Depression and BMD in elderly men are statistically independent. H: Depression and BMD in elderly men are statistically dependent. Find the test statistic. x² = (Round to three decimal places as needed.) Find the P-value. P = (Round to four decimal places as needed.) What is the conclusion of the independence test? Ho. The data statistically dependent sufficient evidence that BMD and depression are

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Author:Amos Gilat
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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.
What are the null and alternative hypotheses?
O A. Ho: BMD is dependent upon depression in elderly men.
H₂: Depression is dependent upon BMD in elderly men.
B. Ho: Depression and BMD in elderly men are statistically dependent.
H₂: Depression and BMD in elderly men are statistically independent.
O C. Ho: Depression and BMD in elderly men are statistically independent.
H₂: Depression and BMD in elderly men are statistically dependent.
Find the test statistic.
x² =
Find the P-value.
P= (Round to four decimal places as needed.)
What is the conclusion of the independence test?
Ho. The data
(Round to three decimal places as needed.)
statistically dependent.
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? Click on the icon to view the data table. What are the null and alternative hypotheses? O A. Ho: BMD is dependent upon depression in elderly men. H₂: Depression is dependent upon BMD in elderly men. B. Ho: Depression and BMD in elderly men are statistically dependent. H₂: Depression and BMD in elderly men are statistically independent. O C. Ho: Depression and BMD in elderly men are statistically independent. H₂: Depression and BMD in elderly men are statistically dependent. Find the test statistic. x² = Find the P-value. P= (Round to four decimal places as needed.) What is the conclusion of the independence test? Ho. The data (Round to three decimal places as needed.) statistically dependent. sufficient evidence that BMD and depression are
Data table
Osteoporotic
Low BMD
Normal
Total
Depressed Not depressed
5
73
93
171
33
531
1280
1844
Total
38
604
1373
2015
I
x
Transcribed Image Text:Data table Osteoporotic Low BMD Normal Total Depressed Not depressed 5 73 93 171 33 531 1280 1844 Total 38 604 1373 2015 I x
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