Question

A survey was conducted to look into how satisfied people are who live in a nursing home. The results are presented in the table below.

Cross tab:        

       Types of nursing home              Satisfaction level

      Dissatisfied    Satisfied            Total

       Church support                       10                24                     34

       Nonsectarian                          35                35                     70

              Total            45                59                     104

Based on the information provided in the table, please indicate what is the expected value for cell 1?   

Cross tab:        

       Types of nursing home              Satisfaction level

   Dissatisfied    Satisfied            Total

       Church support                       10                24                     34

       Nonsectarian                            35                35                     70

              Total                                   45                59                     104

Based on the information provided in the table, please indicate what is the expected value for cell 2?

Answer 1

The expected value formula is given by,

The provided data is:

	Dissatisfied	Satisfied	Row Total
church	10	24	34
Nonsectarian	35	35	70
Column Total	45	59	N= 104

The expected value can be calculated as:

	Dissatisfied	Satisfied	Row Total
church	E1 =(34 x 45)/104 = 14.7115	E2 =(34 x 59)/104 = 19.2885	34
Nonsectarian	E3 =(70 x 45)/104 = 30.2885	E4 =(70 x 59)/104 = 39.7115	70
Column Total	45	59	N= 104

The expected value for cell 1 is 14.7115.

The expected value for cell 2 is 19.2885.

The expected value for cell 3 is 30.2885.

The expected value for cell 4 is 39.7115.