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Chapter 14: Problem 17

Suppose that a consumer survey summarizes the responses of \(n=307\) people in a contingency table that contains three rows and five columns. How many degrees of freedom are associated with the chi-square test statistic?

Short Answer

Expert verified
Answer: The number of degrees of freedom for this contingency table is 8.

Step by step solution

01

The problem gives us a contingency table with 3 rows and 5 columns for a survey of 307 people. #Step 2: Apply the formula for degrees of freedom#

To find the degrees of freedom, we can use the formula: degrees of freedom = (number of rows - 1) * (number of columns - 1) #Step 3: Calculate the degrees of freedom#
02

Substitute the number of rows and columns into the formula: degrees of freedom = (3 - 1) * (5 - 1) = 2 * 4 #Step 4: Simplify the expression#

Now, multiply the numbers together: degrees of freedom = 8 The number of degrees of freedom associated with the chi-square test statistic is 8.

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