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Chapter 12: Q. 12.47 (page 500)

AIDS Cases. According to the Centers for Disease Control and Prevention publication HIV Surveillance Report, the number of AIDS cases in the United States in 2011, by region and race, is as shown in the following contingency table.

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

605225,435

a. How many cells does this contingency table have?

b. Fill in the missing entries.

c. What was the total number of AIDS cases in the United States in 2011?

d. How many AIDS cases were whites?

e. How many AIDS cases were Southerners?

f. How many AIDS cases were black Westerners?

Short Answer

Expert verified

(a) 12 cells

(b)

RegionWhiteBlackOtherTotal
Northeast1,1002,4931,5245,177
Northwest1,1371,5805043221
South2,7617,8482,25812,867
West1,70076417664,230
Total6,69812,685605225,435

(c)The total number of aids cases in the United states in 2011 is 25,435.

(d) 6698

(e) 12,867

(f) 764

Step by step solution

01

Given 

The given table is

RegionWhiteBlackOtherTotal





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

605225,435
02

Part a. Step 2. Total number of cell

There are 12 cell in contingency table

03

Part b. Step 3. The missing value 

RegionWhiteBlackOtherTotal
Northeast1,1002,4931,5245,177
Northwest1,1371,5805043221
South2,7617,8482,25812,867
West1,70076417664,230
Total6,69812,685605225,435
04

Part c. Step 4. The total no of aids

The total number of aids cases in the United states in 2011 is 25,435.

05

Part d. Step 5. Finding the number of aids cases were white.

The total number of AIDS cases were whites is

1,100+1,137+2,761+1,700=6,698

06

Part e. Step 6. Finding the number of AIDS cases were Southerners 

The total number of AIDS cases were southerners

2,761+7,848+2,258=12,867

07

Part f. Step 7.  Finding the number of AIDS cases were Westerners

The number of AIDS cases were Westerners

764.

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Most popular questions from this chapter

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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