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Chapter 12: 12.86 (page 512)

BMD and Depression. In the paper "Depression and Bone Mineral Density: Is There a Relationship in Elderly Asian Men? (Osteoporosis International, Vol. 16, pp. 610-615), S. Wong et al. published results of their study on bone mineral density (BMD) and depression for 1999 Hong Kong men aged 65 to 92 years. Here are the cross-classified data.

At the 1% significance level, do the data provide sufficient evidence to conclude that BMD and depression are statistically dependent for elderly asian man ?

Short Answer

Expert verified

yes,the data provide sufficient evidence to conclude that an association exists between

completion of treatment and practice type at the 1% significance level

Step by step solution

01

Step 1. Given information

02

Step 2.

Check whether or not the data provide sufficient evidence to conclude that BMD and depression are statistically dependent for elderly Asian men at 1 \% significance level.

Step 1:

The test hypotheses are given below:

Null hypothesis:

H0 : There is no association exists between BMD and depression.

Alternative hypothesis:

H1 : There is an association exists between BMD and depression.

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Most popular questions from this chapter

For what purpose is a chi-square homogeneity test used?

For a χ2-curve with 19degrees of freedom determine the χ2-value that has area.

a. 0.025to its right

b. 0.01to its right.

In each case, decide whether Assumptions 1and 2for using chi-square goodness-of-fit test are satisfied.

Sample size: n=100.

Relative frequencies:0.65,0.30,0.05.

Identify three techniques that can be tried as a remedy when one or more of the expected-frequency assumptions for a chi-square independence test are violated.

12.53 AIDS Cases. Refer to Exercise 12.47. For AIDS cases in the United States in 2011, solve the following problems:

RegionWhiteBlackOtherTotal
Northeast1,1002,493
5,177
Northwest1,137
5043221
South2,7617,848
12,867
West
76417664,230
Total

605225,435

a. Find and interpret the conditional distributions of region by race.

b. Find and interpret the marginal distribution of region.

c. Are the variables "region" and "race" associated? Explain your answer.

d. What percentage of AIDS cases were in the South?

e. What percentage of AIDS cases among whites were in the South?

f. Without doing further calculations, respond true or false to the distributions of race by region are not identical.

g. Find and interpret the marginal distribution of race and the conditional distributions of race by region.
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