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Test the following hypotheses by using the χ 2 goodness of fit test. H 0 : p A = .40, p B = .40, and p C = .20 H a : The population proportions are not p A = .40, p B = .40, and p C = .20 A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use α = .01 and test to see whether the proportions are as stated in H 0 . a. Use the p -value approach. b. Repeat the test using the critical value approach.

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Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435
BuyFind

Essentials Of Statistics For Busin...

9th Edition
David R. Anderson + 4 others
Publisher: South-Western College Pub
ISBN: 9780357045435

Solutions

Chapter
Section
Chapter 12.3, Problem 19E
Textbook Problem

Test the following hypotheses by using the χ2 goodness of fit test.

H0: pA = .40, pB = .40, and pC = .20

Ha: The population proportions are not

pA = .40, pB = .40, and pC = .20

A sample of size 200 yielded 60 in category A, 120 in category B, and 20 in category C. Use α = .01 and test to see whether the proportions are as stated in H0.

  1. a. Use the p-value approach.
  2. b. Repeat the test using the critical value approach.

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Chapter 12 Solutions

Essentials Of Statistics For Business & Economics
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