In: Statistics and Probability
using the Chi-square Hypothesis Test. with .05 level of significance. What is the p value and the test statistic? How do you find them?
| Location | |||
| Error Type | Midtown | Uptown | Total | 
| Caller Verification | 15 | 12 | 27 | 
| Provided Correct Information | 17 | 11 | 28 | 
| Correct Update | 14 | 16 | 30 | 
| Other Error Types | 10 | 16 | 26 | 
| Total | 56 | 55 | 111 | 
Let's do calculation in excel:

Let's find test statistic value and p-value in excel:
The
formulae used on the above excel-sheet are as follow:

Decision rule:
1) If p-value < level of significance (alpha) then we reject null hypothesis
2) If p-value > level of significance (alpha) then we fail to reject null hypothesis.
Here p value = 0.0.3720 > 0.05 so we used 2nd rule.
That is we fail to reject null hypothesis