Assuming that the null hypothesis states that there are no preferences among the three designs, find the expected frequencies for the chi-square test.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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A researcher has developed three different designs for a computer keyboard. A sample of n=60 participants is obtained, and each individual tests all three keyboards and identifies his or her favorite. The frequency distribution of the preferences is as follows: 

n=60  

Design A Design B Design C
23 12 25

Assuming that the null hypothesis states that there are no preferences among the
three designs, find the expected frequencies for the chi-square test.

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