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Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich
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Consider the following 2 × 3 (i.e., r = 2 and c = 3 )

Chapter 10, Problem 20E

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QUESTION:

Consider the following \(2\ \times\ 3\) (i.e., r = 2 and c = 3 ) contingency table shown below.

a. Specify the null and alternative hypotheses that should be used in testing the independence of the row and column classifications.

b. Specify the test statistic and the rejection region that should be used in conducting the hypothesis test of part a . Use \(\alpha\ =\ .01\).

c. Assuming that the row classification and the column classification are independent, find estimates for the expected cell counts.

d. Conduct the hypothesis test of part a. Interpret your result.

Questions & Answers

QUESTION:

Consider the following \(2\ \times\ 3\) (i.e., r = 2 and c = 3 ) contingency table shown below.

a. Specify the null and alternative hypotheses that should be used in testing the independence of the row and column classifications.

b. Specify the test statistic and the rejection region that should be used in conducting the hypothesis test of part a . Use \(\alpha\ =\ .01\).

c. Assuming that the row classification and the column classification are independent, find estimates for the expected cell counts.

d. Conduct the hypothesis test of part a. Interpret your result.

ANSWER:

Step 1 of 4

(a)

   Row and columns are independent.

   Row and column are dependent.

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