Homework SourseYou are conducting a multinomial hypothesis test for the cla
You are conducting a multinomial hypothesis test for the claim that the 4 categories occur with the following frequencies:
Ho : pA=0.3; pB=0.1; pC=0.1; pD=0.5
Complete the table. Round to 3 decimal places.
What is the chi-square test-statistic for this data?
2=
Report all answers accurate to three decimal places.
| Category | Observed Frequency | Expected Frequency | (OE)^2/E |
|---|---|---|---|
| A | 40 | ||
| B | 11 | ||
| C | 34 | ||
| D | 52 |
Solution
Complete the table.
we get the expected values by multiplying the sample size (137) by the probabilities here.
Doing an observed/expected value table,
O E (O - E)^2/E
40 41.1 0.029
11 13.7 0.532
34 13.7 30.080
52 68.5 3.974
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What is the chi-square test-statistic for this data?
Using chi^2 = Sum[(O - E)^2/E],
chi^2 = 34.616 [ANSWER]
