EP INTRODUCTION TO PROBABILITY+STAT.
EP INTRODUCTION TO PROBABILITY+STAT.
14th Edition
ISBN: 2810019974203
Author: Mendenhall
Publisher: CENGAGE L
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Chapter 14.3, Problem 14.5E

Suppose that a response can fall into one of k = 5 categories with probabilities p 1 , p 2 , ..... , p 5 and that n = 300 responses produced these category counts:

Chapter 14.3, Problem 14.5E, Suppose that a response can fall into one of k=5 categories with probabilities p1,p2,.....,p5 and
a. Are the five categories equally likely to occur? How would you test this hypothesis?
b. If you were to test this hypothesis using the chis quare statistic. how many degrees of freedom would the test have?
c. Find the critical value of x 2 that defines the rejection region with α = .05 .
d. Calculate the observed value of the test statistic.
e. Conduct the test and state your conclusions.

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