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)   What is the null hypothesis? What are the expected frequency for each of the four categories? What is the value of the test statistic? What is the critical value? What do you conclude about the given claim?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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)

 

  1. What is the null hypothesis?
  2. What are the expected frequency for each of the four categories?
  3. What is the value of the test statistic?
  4. What is the critical value?
  5. What do you conclude about the given claim?
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