In: Statistics and Probability
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:
HoHo : pA=0.3pA=0.3; pB=0.2pB=0.2; pC=0.2pC=0.2; pD=0.3pD=0.3
Complete the table. Report all answers accurate to two decimal
places, unless otherwise specified.
| Category | Observed Frequency |
Expected Frequency |
|---|---|---|
| A | 43 | |
| B | 39 | |
| C | 26 | |
| D | 32 |
What is the chi-square test-statistic for this data? (Round to two
decimal places)
χ2=χ2=
What is the P-Value? (Round to four decimal places)
P-Value =
For significance level alpha 0.01,
What would be the conclusion of this hypothesis test?
Report all answers accurate to three decimal places.