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Chapter 12: Q. 5 (page 520)

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?

Short Answer

Expert verified

As a result, pie charts and bar charts are the most used graphical representations for qualitative data.

Step by step solution

01

Definition

A pie chart is a disc with wedge-shaped parts corresponding to the qualitative data's relative frequency.

02

Definition

A bar chart shows the qualitative data's different values on one axis and the relative frequencies (or frequencies or percents) of those values on the other. A vertical bar with an eight equal to the relative frequency of each separate value represents the relative frequency of that value. The bars should not be in contact with one another.

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Most popular questions from this chapter

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

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?

b. There are roughly 37 million Americans of Irish ancestry. If ancestry and region of residence are not associated, how many Americans of Irish ancestry would reside in the Northeast?

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?

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⋅n.

12.73 two and two

Although the chi-square homogeneity test and the chi-square independence test use essentially the same basic procedure, the context of the two tests are quite different. Explain the difference.

Fill in the blank: If a variable has only two possible values, the chi-square homogeneity test provides a procedure for comparing several population......................................
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