Question

In: Statistics and Probability

Here are the observed frequencies from four categories: 5,  6,  8,  13. Assume we want to use a 0.05...

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?

Solutions

Expert Solution

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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