You are conducting a multinomial Goodness of Fit hypothesis testfor the claim that the 4 categories occur with the followingfrequencies:
H o : p A = 0.15 ; p B = 0.4 ; p C = 0.3 ; p D = 0.15 Completethe table.
Report all answers accurate to three decimal places.
1)
| category | observed frequency | expected frequency | residual (chi-square) component |
| A | 10 | | |
| B | 25 | | |
| C | 16 | | |
| D | 17 | | |
2) What is the chi-square test-statistic forthis data?
? 2 =
Significance level alpha is 0.005.
3) What is the p-value?
p-value =
4) What would be the conclusion of thishypothesis test?
A)Reject the Null Hypothesis
B)Fail to reject the Null Hypothesis
Report all answers accurate to three decimal places.
