company claims that 50% of their customers prefer product A, 30% prefer product B, and 20% prefer product C. To test this claim, a random sample of 100 customers was taken, and it was found that 50 customers prefer product A, 30 customers prefer product B, and 20 customers prefer product C. Using a 0.05 level of significance, perform a chi-square goodness-of-fit test to determine whether the company's claim is supported by the sample data.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A company claims that 50% of their customers prefer product A, 30% prefer product B, and 20% prefer product C. To test this claim, a random sample of 100 customers was taken, and it was found that 50 customers prefer product A, 30 customers prefer product B, and 20 customers prefer product C. Using a 0.05 level of significance, perform a chi-square goodness-of-fit test to determine whether the company's claim is supported by the sample data.
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