Answer to Question #174513 in Statistics and Probability for DAVID

Question

The Dean the School of education, a University wants to determine whether there are statistically significant difference of opinion among the different cadres of academic staff members at the university concerning a proposed curriculum change in which postgraduate students are to be taught research methods on-line. Interviewing a sample of 313 members of the academic staff constituting 104 Lecturers, 131 Senior Lecturers, and 78 Professors, the Dean obtained the results shown in the following table:

 

Rank

 

Response

Lecturer

Senior Lecturer

Professor

Total

Against

47

34

14

95

Not committed

41

49

29

119

In support

16

48

35

99

Total

104

131

78

313

 

Compute a chi-square test for the above data and draw conclusion at α = .05                

Answer 1

The value for $\chi ^2$ square is calculated by-

$\chi^2=\sum\dfrac{(O_i-E_i)^2}{E_i}$

From the above table we have-

There is statistically significant difference of opinion among the different cadres of academic staff members.