1. (Use BMD data) 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? The historical study shows that using Chi-square test is appropriate A C D Depressed Not_depressed 2 Osteoporitic Low_BMD 37 3. 71 530 here. 4 Normal 95 1292 а. State the null and alternate hypotheses. 9 b. Find the value of the chi-square statistic for the sample. (Round the test statistic to three decimal places.) 10 11 12 13 14 c. Find the P-value of the sample test statistic. (Round to four decimal places.) 15 16

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1. (Use BMD data) 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? The historical study shows that using Chi-square test is appropriate
A
В
C
D
1
Depressed
Not_depressed
2 Osteoporitic
1
37
3
Low_BMD
71
530
here.
Normal
95
1292
а.
State the null and alternate hypotheses.
7
8
9.
b.
Find the value of the chi-square statistic for the sample. (Round the test statistic to three decimal
places.)
10
11
12
13
14
C.
Find the P-value of the sample test statistic. (Round to four decimal places.)
15
16
17
18
d. Interpret your conclusion in the context of the application.
19
20
Insert your R output here:
+
е.
Transcribed Image Text:1. (Use BMD data) 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? The historical study shows that using Chi-square test is appropriate A В C D 1 Depressed Not_depressed 2 Osteoporitic 1 37 3 Low_BMD 71 530 here. Normal 95 1292 а. State the null and alternate hypotheses. 7 8 9. b. Find the value of the chi-square statistic for the sample. (Round the test statistic to three decimal places.) 10 11 12 13 14 C. Find the P-value of the sample test statistic. (Round to four decimal places.) 15 16 17 18 d. Interpret your conclusion in the context of the application. 19 20 Insert your R output here: + е.
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