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Chapter 12: Q. 12.39 (page 499)

Identify three ways in which the total number of observations of bivariate data can be obtained from the frequencies in a contingency table.

Short Answer

Expert verified

Three ways in which the total number of observations of bivariate data can be obtained from the frequencies in a contingency table are as follows :-

1. Summing the row totals

2. Summing the column totals

3. Summing the frequencies in the cells

Step by step solution

01

Step 1. Given information

A contingency table is a tabular representation of categorical data.

02

Step 3. Three ways

Three ways in which the total number of observations of bivariate data can be obtained from the frequencies in a contingency table are as follows :-

1. Summing the row totals

2. Summing the column totals

3. Summing the frequencies in the cells

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Most popular questions from this chapter

If the observed and expected frequencies for a chi-square goodness-of-fit test, a chi-square independence test, or a chi-square homogeneity test matched perfectly, what would be the value of the test statistic?

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.

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.

School Enrollment. Refer to Exercise 12:48. For students below postsecondary, solve the following problems.

a. Determine the conditional distribution of level for each gender.

b. Determine the marginal distribution of level.

c. Are the variables "gender"" and "level" associated? Explain your answer

d. Find the percentage of students in nursery school.

e. Find the percentage of females in nursery school.

f. Without doing any further calculations, respond true or false to the following statement and explain your answer: "The conditional distributions of gender within levels are not identical " .

g. Determine and interpret the marginal distribution of gender and the conditional distributions of gender within levels.

In each of exeercises 12.57-12.59, use the technology of your choice to solve the specified problems.

The National Governors Association publishes information on U.S Governors in Governors' Political Afflitiation and Term of Office. Based on that document we obtain the data on region of reidence an political party given on WeissStats site.

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c. Determine the conditional distribution of party within each region and the marginal distribution of party.
d. Are the variables "region" and "party" for U.S. governors associated? Explain your answer.

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