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