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Chapter 12: Q.17 (page 521)

Hospitals. Refer to Problems 15 and 16 .

a. In view of your answer to Problem 16(b), without doing any further calculations, respond true or false to the following statement and explain your answer: "The conditional distributions of facility type within control types are identical.

b. Obtain the conditional distributions of facility type within control types.

c. Find the marginal distribution of facility type.

Short Answer

Expert verified

"Country" is considered a qualitative variable.

As a result, the variable in question is Country, which is a qualitative data type.

Step by step solution

01

Given Information

a. Determine the data type represented in the table's first column.

The table below shows the five largest hydroelectric facilities in the world by installed capacity. The "Rank" of the largest hydroelectric plants is represented in the first column of the table. The data is numerically recorded here. As a result, Rank is a numerical variable. The values of the variable "Rank possible" can also be listed. It is therefore a discrete variable.

As a result, Rank is the variable in question, and it is a quantitative, discrete data type.

02

Definition

b. Determine the data type represented in the table's fourth column.

The fourth column in the table shows the "Capacity" of each plant in megawatts. The data is numerically recorded here. As a result, capacity is a numerical variable. Furthermore, the number interval is created by the various values of the variable "Capacity." It is therefore a continuous variable.

As a result, Capacity is the variable under consideration. It's also a continuous, quantitative data type.

03

Definition

C. Determine the data type shown in the third column of the table.

The "Country" is represented in the table's third column. Nonnumerical information is represented by the data. As a result, "Country" is considered a qualitative variable.

As a result, the variable in question is Country, which is a qualitative data type.

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Most popular questions from this chapter

We stated earlier that, if two variables are not associated, ther eis no point in looking for a casual relationship. Why is that so?

In each of the given Exercises, we have presented a contingency table that gives a cross-classification of a random sample of values for two variables, x, and y, of a population. For each exercise, perform the following tasks.

a. Find the expected frequencies. Note: You will first need to compute the row totals, column totals, and grand total.

b. Determine the value of the chi-square statistic.

c. Decide at the 5% significance level whether the data provide sufficient evidence to conclude that the two variables are associated.

Job Satisfaction. A CNN/USA TODAY poll conducted by Gallul asked a sample of employed Americans the following question: "Which do you enjoy more, the hours when you are on your job, or the hours when you are not on your job?" The responses to this question were cross-tabulated against several characteristics, among which were gender, age, type of community, educational attainment, income, and type of employer. The data are provided on the WeissStats site. In each of Exercises 12.87-12.92, use the technology of your choice to decide, at the 5% significance level, whether an association exists between the specified pair of variables.

type of employer and response

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?

State the null and alternative hypotheses for a chi-square homogeneity test
a. without using the terms homogeneous and nonhomogeneous.
b. using the terms homogeneous and nonhomogeneous
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