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Chapter 12: Q. 8 (page 520)

Suppose that you have bivariate data for an entire population.

a. How would you decide whether an association exists between the two variables under consideration?

b. Assuming that you make no calculation mistakes, could your conclusion be in error? Explain your answer.

Short Answer

Expert verified

Part a. If all the conditional distributions are identical then no association exists between the two variables, otherwise, there is an association between the two variables.

Part b. No, because the data are for an entire population, no inference is being made from a sample to the population, the conclusion is a fact.

Step by step solution

01

Part (a) Step 1. Given Information

We are given a bivariate data for an entire population.

02

Part (a) Step 2. Explanation

To decide whether an association exists between the two variables under consideration first we obtain the conditional distribution of one of the variables for each possible value of the other variable.

If all the conditional distributions are identical then no association exists between the two variables, otherwise, there is an association between the two variables.

03

Part (b) Step 1. Explanation

If a calculation mistake is done then your conclusion could not be in error.

This is because the data are for an entire population, no inference is being made from a sample to the population, the conclusion is a fact.

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Most popular questions from this chapter

US. Hospitals. Refer to Exercise 12.50.


24 or fewer25-7475 or moreTotal
General260158635575403
Psychiatric24242471737
Chronic132226
Tuberculosis0224
Other25177208410
Total310201042606580

a. Determine the conditional distribution of number of beds within each facility type.

b. Does an association exist between facility type and number of beds for U.S. hospitals? Explain your answer.

c. Determine the marginal distribution of number of beds for U.S. hospitals.

d. Construct a segmented bar graph for the conditional distributions and marginal distribution of number of beds. Interpret the graph in light of your answer to part (b),

e. Without doing any further calculations, respond true or false to the following statement and explain your answer. "The conditional distributions of facility type within number-of-beds categories are identical.

f. Determine the marginal distribution of facility type and the conditional distributions of facility type within number-of-beds categories.

g. What percentage of hospitals are general facilities?

h. What percentage of hospitals that have at least 75 beds are general facilities?

i. What percentage of general facilities have at least 75 beds?

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.

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

Sample size n=50.

Relative frequencies0.65,0.30,0.05.

In each of the given Exercises, we have given the number of possible values for two variables of a population. For each exercise, determine the maximum number of expected frequencies that can be less than 5 in order that Assumption 2 of Procedure 12.2 on page 506 to be satisfied. Note: The number of cells for a contingency table with m rows and n columns is m鈰卬.

12.74 six and seven

Ancestry and Region. The U.S. Census Bureau collects information on the U.S. population by ancestry and region of residenc and publishes the results in American Community Survey. Accordin; to that document, 18 % of the population resides in the Northeast.

a. If ancestry and region of residence are not associated, wha percentage of Americans of Irish ancestry would reside in the Northeast?

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c. There are, in fact, 9.25 million Americans of Irish ancestry who reside in the Northeast. Given this information and your answer to part (b), what can you conclude?
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