1.) A variable contains seven categories. It is expected that data are uniformly distributed across these...
1.) A variable contains seven categories. It is expected that data are uniformly distributed across these seven categories. To test this, a sample of observed data is gathered on this variable resulting in frequencies of 27, 30, 29, 21, 18, 33 and 24. What is the value of test statistic equals to, using a significance level of 1%? a. a. 18.475 b. b. 10.645 c. c. 6.46 d. d. 0.374
Homework Answers
applying goodness of fit test:
| observed | Expected | Chi square | ||
| Probability(p) | Oi | Ei=total*p | R2i=(Oi-Ei)2/Ei | |
| 1/7 | 27.000 | 26.0 | 0.04 | |
| 1/7 | 30.000 | 26.0 | 0.62 | |
| 1/7 | 29.000 | 26.0 | 0.35 | |
| 1/7 | 21.000 | 26.0 | 0.96 | |
| 1/7 | 18.000 | 26.0 | 2.46 | |
| 1/7 | 33.000 | 26.0 | 1.88 | |
| 1/7 | 24.000 | 26.0 | 0.15 | |
| 1 | 182 | 182 | 6.46 |
test statistic =6.46
option C is correct
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