Chapter 12, Problem 18PT4

To determine

The cell that contributes most to the chi square statistic among the choices a,b,c,d and e with the Minitab output and following explanation.

(a) Men who developed a rash.

(b) Men who did not develop a rash.

(c) Women who developed a rash.

(d) Women who did not develop a rash.

(e) Both (a) and (d).

Could mud wrestling be the cause of Rash contracted by university of Washington students? Two physicians at the University of Washington student Health Centre wondered about this. One male and 6 female students complained of rashes after participating in a mud wrestling event. Questionnaires were sent to a random sample of students who participated in the event, by the gender, are summarised in the following table. 

  

Answer to Problem 18PT4

The cell that contributes most to the chi square statistic is

(c) Women who developed rash.

Explanation of Solution

The chi square for each cell is calculated using the formula (0-E)²/E where O stands for observed count and E is expected count of each cell.

  

Hence correct choice among choices a to e is option (c) women who developed rash.

Conclusion: The cell that contributes most to the chi square statistic is

(c) Women who developed rash.