Could mud wrestling be the cause of a rash contradicted by W

Could mud wrestling be the cause of a rash contradicted by Washington State University students in the spring of 1992? Physicians at the WSU student health center wondered this when one male and six females complained of rashes after participating in a mud wrestling event. Questionnaires were sent to all students in the residence halls that participated in the event. The questionnaire asked about the appearance of a rash and about attendance at the event. The results are summarized below:

What is the p-value for the chi-square statistic?

A) between 0.05 and 0.01

B) larger than 0.10

C) between 0.10 and 0.05

D) less than 0.01

E) between 0.001 and 0.01

Please explain and show your work.

Men Women
Developed Rash 12 12
No Rash 38 12

Solution


The chi-square statistic is 5.0024. The P-Value is 0.025312. The result is significant at p < 0.01.

Hence D) less than 0.01 is answer.

Results
Men women Row Totals
yes for rash 12  (16.22)  [1.10] 12  (7.78)  [2.28] 24
no for rash 38  (33.78)  [0.53] 12  (16.22)  [1.10] 50
Column Totals 50 24 74  (Grand Total)
Could mud wrestling be the cause of a rash contradicted by Washington State University students in the spring of 1992? Physicians at the WSU student health cent

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