In: Statistics and Probability
Here are the observed frequencies from four categories: 5, 6, 8, 13.
Assume we want to use a 0.05 significance level to test the claim that the four categories are all equally likely. (Goodness of fit test)
ANSWER:
From the given information,
By using calculator,
The required correct answers are,
A. Null hypothesis is,
Ho: Four categories are equally likely.
B. Expected value= 32/4 = 8
C. Test statistic= 4.75
D. Critical value= 7.815
E. Failed to reject null hypothesis.
Hence, We can conclude that four categories are all equally likely.
(OR) FOR BETTER UNDERSTANDING
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