A researcher has developed three different designs for a computer keyboard. A sa

Question

A researcher has developed three different designs for a computer keyboard. A sample of N = 60 participants is obtained, and each tests all three keyboards and identifies his or her favorite. The frequency distribution of preferences is: Design A 23; Design B, 12; Design C, 25. Does the data suggest the participants prefer one computer keyboard over another? What are the hypotheses? List the expected frequencies Calculate x^2 What is the conclusion at alpha = 05 level? A researcher would like to know which factors are most important to people who are buying a new car. A sample of N = 200 customers between the ages of 20 and 29 are asked to identify the most important factor in the decision process: Performance, Reliability, or Style. The researcher would like to know whether there is a difference between the factors identified by women compared to those identified by men. The data are as follows: observed Frequencies of Most Important Factor by Gender What are the hypotheses? List the expected frequencies in a table Calculate x^2 What is the conclusion at alpha = .05 level?

Explanation / Answer

null hypothesis: there is no prefrence one computer keyboard over another

alternate hypothesis: there si at least one keyboard is more preferred then another

X2 =4.9

critical value at 2 degree of freeedom and 0.05 level =5.9915

as chi stat is lower then critical value we can not reject null hypothesis that there is no preference

2)

null hypothesis: there is no difference in factors identified by women then by men

alternate hypothesis: there are differences in factors identified by women then by men

X2 =4.924

again for

critical value at 2 degree of freeedom and 0.05 level =5.9915

as chi stat is lower then critical value we can not reject null hypothesis that there is no preference

observed Expected Chi square Keyboard Probability O E=total*p =(O-E)^2/E A 0.33 23.00 20.00 0.45 B 0.33 12.00 20.00 3.20 C 0.33 25.00 20.00 1.25 60 60 4.9000

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