You are conducting a multinomial Goodness of Fit hypothesis testfor the claim that the 4 categories occur with the followingfrequencies:
HoHo :pA=0.1pA=0.1; pB=0.4pB=0.4; pC=0.3pC=0.3; pD=0.2pD=0.2
Complete the table. Report all answers accurate to three decimalplaces.
| Category | Observed
Frequency | Expected
Frequency |
|---|
| A | 23 | |
|---|
| B | 43 | |
|---|
| C | 33 | |
|---|
| D | 12 | |
|---|
What is the chi-square test-statistic for this data?
?2=?2=
What is the P-Value?
P-Value =
For significance level alpha 0.005,
What would be the conclusion of this hypothesis test?
- Reject the Null Hypothesis
- Fail to reject the Null Hypothesis
Report all answers accurate to three decimal places.
