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Chapter 11: Q. 94 (page 665)

Read the statement and decide whether it is true or false.

The number of degrees of freedom for a test of independence is equal to the sample size minus one.

Short Answer

Expert verified

The statement is false.

Step by step solution

01

Concept Introduction

The Chi-square test of independence is a statistical hypothesis test used to determine whether two categorical or nominal variables are likely to be related or not.

02

Explanation

If we are given the table with nrow and mcolumns, the number of degrees of freedom is calculated as

(n-1)(m-1)

Thus, the statement is false.

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Most popular questions from this chapter

The City of South Lake Tahoe, CA, has an Asian population of 1,419people, out of a total population of 23,609. Suppose that a survey of 1,419self-reported Asians in the Manhattan, NY, area yielded the data in Table 11.38. Conduct a goodness-of-fit test to determine if the self-reported sub-groups of Asians in the Manhattan area fit that of the Lake Tahoe area.

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Use a solution sheet to solve the hypothesis test problem. Go to Appendix E for the chi-square solution sheet. Round expected frequency to two decimal places.

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