STATS QUESTION ChiSquare Test FT Fac Adj Fac Staff For a sur

STATS QUESTION:

Chi-Square Test: FT Fac, Adj Fac, Staff

For a survey we sent out on computer resources here are the number of

surveys returned or not returned for FT faculty, Adj. Faculty and Staff and

the Chi-square Minitab output: (row 1 is returned, row 2 is not returned)

Expected counts are printed below observed counts

Chi-Square contributions are printed below expected counts

   FT Fac Adj Fac Staff Total

1   160      90     250     500

    192.00 108.00 200.00

    5.333   3.000   12.500

2   320     180     250     750

    288.00  162.00  300.00

    3.556   2.000   8.333

Total 480    270     500    1250

Chi-Sq = 34.722, DF = 2, P-Value = 0.000

Carry out the hypothesis test using a level of significance of .05. Be sure to state your decision and the reason for your decision.

Solution

H0: Returns are independent of faculty

Ha: There is association between them

two tailed chi square test

chi square value = 34.722 and df =2

As p value =0 < 0.05 reject null hypothesis

Decision:

No of surveys returned depend on type of faculty.