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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

Fear of Gangs. In the article "Growing Pains and Fear of Gangs" (Applied Psychology in Criminal Justice, Vol. 5, No. 2, pp. 139-164), B. Brown and W. Benedict examined the relationship between worry about a gang attack and actually being a victim of a gang attack. Interviews of a sample of high school students yielded the following contingency table.

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.

Bottled Water. A project exploring the bottled-water phenomenon and preference of water types was conducted by researchers M. Lunsford and A. Fink in the article "Water Taste Test Data" (Journal of Statistics Education, Vol. 18, No. 1). One hundred nine subjects participated in double-blind taste tests of three different bottled water brands (Fiji, Aquafina, and Sam's Choice) and tap water. Twelve people preferred the tap water, 27 Aquafino 44 Fiji, and 26 Sam's Choice. At the 5% significance level, do the data provide sufficient evidence to conclude that the four different water types are not equally likely in preference?

Education of Prisoners. Refer to Exercise 12.49.

a. Find the conditional distribution of educational attainment with in each type of prison facility.

b. Does an association exist between educational attainment and of prison facility for prisoners? Explain your answer.

c. Determine the marginal distribution of educational attainment for prisoners.

d. Construct a segmented bar graph for the conditional distributions of educational attainment and marginal distribution of educational attainment that you obtained in parts (a) and (c), respectively. 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 educational attainment categories are identical."

f. Determine the marginal distribution of facility type and the conditional distributions of facility type within educational attainment

categories.

g. Find the percentage of prisoners who are in federal facilities.

h. Find the percentage of prisoners with at most an 8th-gradetion who are in federal facilities.

i. Find the percentage of prisoners in federal facilities who have at most an 8th-grade education.

Are the observed frequencies variables? What about the expected frequencies? Explain your answers.

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