In: Statistics and Probability
A paper described a survey of 501 undergraduate students at a state university in the southwestern region of the United States. Each student in the sample was classified according to class standing (freshman, sophomore, junior, or senior) and body art category (body piercings only, tattoos only, both tattoos and body piercings, no body art).
Use the data in the accompanying table to determine if there is evidence of an association between class standing and response to the body art question. Assume that it is reasonable to regard the sample of students as representative of the students at this university. Use
α = 0.01.
Body Piercings Only |
Tattoos Only |
Both Body Piercing and Tattoos |
No Body Art |
|
---|---|---|---|---|
Freshman | 62 | 7 | 15 | 86 |
Sophomore | 44 | 11 | 10 | 65 |
Junior | 20 | 9 | 7 | 46 |
Senior | 21 | 17 | 24 | 57 |
Calculate the test statistic. (Round your answer to two decimal places.)
χ2 =
What is the P-value for the test? (Round your answer to three decimal places.)
P-value =