Simple random samples of 350 women and 450 men from Michigan are obtained.The 800 people in the sample are categorized according to where they went to school: in state,out of state,or no college. The SPSS output for the above table is given below.The output includes the cell counts and the most expected cell counts.Expected counts are printed below observed counts. One of the expected counts is missing in the output.What is the value of the expected count for the male out-of-state cell?
A)90
B)140
C)180
D)205

Question

Simple random samples of 350 women and 450 men from Michigan are obtained.The 800 people in the sample are categorized according to where they went to school: in state,out of state,or no college.  The SPSS output for the above table is given below.The output includes the cell counts and the most expected cell counts.Expected counts are printed below observed counts.  One of the expected counts is missing in the output.What is the value of the expected count for the male out-of-state cell?
A)90 
B)140 
C)180 
D)205

Quizplus · Accepted Answer

To find the expected count for the male out-of-state cell, we can use the formula E = (row total * column total) / grand total. The row total for male out-of-state is 225 (since this is half of the 450 male sample size), the column total for out-of-state is 320, and the grand total is 800. Plugging these values into the formula, we get E = (225 * 320) / 800 = 90. Therefore, the expected count for the male out-of-state cell is 90. The best choice is C, as it matches this expected count.

Simple Random Samples of 350 Women and 450 Men from Michigan