In: Math
You are conducting a multinomial Goodness of Fit hypothesis test for the claim that the 4 categories occur with the following frequencies:
HoHo : pA=0.1pA=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 decimal
places.
| Category | Observed Frequency  | 
Expected Frequency  | 
|---|---|---|
| A | 23 | |
| B | 43 | |
| C | 33 | |
| D | 12 | 
What is the chi-square test-statistic for this data?
χ2=χ2=
What is the P-Value?
P-Value =  
For significance level alpha 0.005,
What would be the conclusion of this hypothesis test?
Report all answers accurate to three decimal places.