A study of 1999 elderly Asian men cross-classified the incidence of depression with bone mineral density (BMD). The data were as follows: Depression depressed not depressed total osteoporitic 3 ( 35 ( 38 BMD: low BMD 69 ( 533 ( 602 high BMD 97 ( 1262 ( 1359 total: 169 1830 1999 On your exam paper, copy the table above: find the expected values ("E") and enter them next to the observed values ("O") in the table using the parentheses provided. In the answer space below, write down a) the six expected values E and b) the chi-square test statistic associated with these data (see next question).

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A study of 1999 elderly Asian men cross-classified the incidence of depression with bone mineral
density (BMD). The data were as follows:
Depression
depressed
not depressed total
osteoporitic
3 (
35 (
38
BMD:
low BMD
69 (
533 (
602
high BMD
97 (
1262 (
1359
total:
169
1830
1999
On your exam paper, copy the table above: find the expected values ("E") and enter them next to
the observed values ("O") in the table using the parentheses provided.
In the answer space below, write down
a) the six expected values E and
b) the chi-square test statistic associated with these data (see next question).
Transcribed Image Text:A study of 1999 elderly Asian men cross-classified the incidence of depression with bone mineral density (BMD). The data were as follows: Depression depressed not depressed total osteoporitic 3 ( 35 ( 38 BMD: low BMD 69 ( 533 ( 602 high BMD 97 ( 1262 ( 1359 total: 169 1830 1999 On your exam paper, copy the table above: find the expected values ("E") and enter them next to the observed values ("O") in the table using the parentheses provided. In the answer space below, write down a) the six expected values E and b) the chi-square test statistic associated with these data (see next question).
Referring to the data in question 3 above:
At the 1% significance level, do the data support the conclusion that BMD and depression are
statistically dependent in elderly Asian men? Formulate and carry out the chi-square independence
test. As usual, include
a) a statement of the hypotheses
b) the critical value for the test
c) the value of the test statistic (from the previous question)
d) a statement of conclusion
Transcribed Image Text:Referring to the data in question 3 above: At the 1% significance level, do the data support the conclusion that BMD and depression are statistically dependent in elderly Asian men? Formulate and carry out the chi-square independence test. As usual, include a) a statement of the hypotheses b) the critical value for the test c) the value of the test statistic (from the previous question) d) a statement of conclusion
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