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Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

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 preferences is as follows:

Design A Design B Design C  
23 12 25 n = 60
  • a. What is the df value for the chi-square statistic?
  • b. Assuming that the null hypothesis states that there are no preferences among the three designs, find the expected frequencies for the chi-square test.

a.

To determine
Degrees of freedom value for the chi-square statistic.

Explanation

Given info:

For a computer keyboard, three different designs were developed by a researcher. A sample of size 60 were taken and obtained each individual tests for three keyboard and the favourite one was identified.

Calculation:

Degree of freedom is calculated by simply with relation.

df=C

b.

To determine
Expected frequencies of the chi-square test.

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