The textbook \"Intro Stats\", by De Veaux and Velleman, reports on a University

Question

The textbook "Intro Stats", by De Veaux and Velleman, reports on a University of Texas Southwestern Medical Centre survey in which 626 people were classified by whether they had Hepatitis C and whether or not they had a tattoo. If they had a tattoo, they were further classified as to whether they had received it in a tattoo parlour or elsewhere. The results are as follows: Tattoo, parlor Tattoo, elsewhere No tattoo Total 22 47 491 579 Hepatitis No Hepatitis C 35 Total If you are asked to test Ho: Having Hepatitis C is independent of Tattoo status vs H1: Having Hepatitis C is not independent of Tattoo status, you need to perform a Chi-Squared test of independence. The test statistic has 17 53 61 52 513 626 11 degrees of freedom 6 degrees of freedom 12 degrees of freedom 2 degrees of freedom 5 degrees of freedom O

Explanation / Answer

Degrees of freedom = DF

According to the Formula for degrees of freedom,

DF = (r - 1) (c - 1)

= (3 - 1) (2 - 1)

= 2 × 1

= 2

So, it has 2 degrees of freedom  

r = number of rows

c = number of columns

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