Suppose that a response can fall into one of k = 5 categories with probabilities p1,...
Suppose that a response can fall into one of k = 5 categories with probabilities p1, p2, , p5 and that n = 300 responses produced these category counts.
| Category | 1 | 2 | 3 | 4 | 5 | ||||
| Observed Count | 48 | 63 | 73 | 49 |
67 |
(a) If you were to test this hypothesis using the chi-square
statistic, how many degrees of freedom would the test have?
degrees of freedom
(b) Find the critical value of χ2 that defines the
rejection region with α = 0.05. (Round your answer to three decimal
places.)
χ20.05 =
(c) Calculate the observed value of the test statistic.
Χ2 =
Homework Answers
The statistical software output for this problem is :
Chi-Square goodness-of-fit results:
Observed: Oi
Expected: All cells in equal proportion
| N | DF | Chi-Square | P-value |
|---|---|---|---|
| 300 | 4 | 8.2 | 0.0845 |
| Observed | Expected |
|---|---|
| 48 | 60 |
| 63 | 60 |
| 73 | 60 |
| 49 | 60 |
| 67 | 60 |
degrees of freedom = 4
critical value 
= 9.487
Test statistics is
= 8.2
Add Answer to:
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