You think you notice in your monthly departmental meetings that more women tend to sit up front, and more men sit
in the back. To determine whether this difference is statistically significant, you record where people are sitting at one of the meetings. The data is presented in the table below. (you'll have to complete the rest of the table to answer the following questions):
Front of the room 19 27
Back of the room 26 23
Calculate the Row and Column Totals and put them in the appropriate cells. Then, calculate the Expected Frequency for each cell (rounding to two decimal places) and put them in the appropriate cells (in parentheses next to the observed frequency).
Men Women Row Totals
Front of the room
19 (ANSWER) 27 (ANSWER) (ANSWER)
Back of the room
26 (ANSWER) 23 (ANSWER) (ANSWER)
(ANSWER) (ANSWER) (ANSWER)
What is observed X^2? Show work!
What is the degrees of freedom?
What is the critical value?
Do you reject or fail to reject the null hypothesis?