Chapter 10, Problem 1SE

Tests

a. In Chapter 8, you learned some tests of proportions. Are tests of proportions used for categorical or numerical data?

b. In this chapter, you are learning to use chi-square tests. Do these tests apply to categorical or numerical data?

To determine

Determine whether the tests of proportions are used for the categorical or the numerical data.

Answer to Problem 1SE

The tests of proportion are used for the categorical data.

Explanation of Solution

The categorical data is the data which describes the qualities of the objects under consideration, whereas the numerical data is the measure of the data.

The test of proportion is used to test whether the population proportion is significantly equal to hypothesized value or not. It is based on the proportion of the responses of the population. For observing the response, the population is divided into two categories.

Therefore, the test of proportion is used for the categorical data.

To determine

Determine whether the chi-square test is applied to the categorical or the numerical data.

Answer to Problem 1SE

The chi-square test is used for the categorical data.

Explanation of Solution

The chi-square test can be used for checking the association between categorical variables. The test can be used to decide whether the effect of one categorical data is dependent on the other variable or not. It is not used for the numerical data.

Therefore, the chi-square test is used for the categorical data.