A researcher is examining preferences among three new flavors of water. A sample of n = 60 people is obtained. Each person tastes all three flavors and then picks their favorite. The distribution of preferences is below. Which chi-square value is obtained when conducting a chi-square goodness of fit test, and which decision should be made regarding the hypothesis test using α = .05?                   Water Flavor         A               B               C         ​ 28 ​ 14 ​ 18     a. Χ2 = 6.20; Fail to reject the null hypothesis   b. Χ2 = 5.20; Reject the null hypothesis   c. Χ2 = 6.20; Reject the null hypothesis   d. Χ2 = 5.20; Fail to reject the null hypothesis

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A researcher is examining preferences among three new flavors of water. A sample of n = 60 people is obtained. Each person tastes all three flavors and then picks their favorite. The distribution of preferences is below. Which chi-square value is obtained when conducting a chi-square goodness of fit test, and which decision should be made regarding the hypothesis test using α = .05?

                  Water Flavor

        A               B               C        

28

14

18

 

  a.
Χ2 = 6.20; Fail to reject the null hypothesis
  b.
Χ2 = 5.20; Reject the null hypothesis
  c.
Χ2 = 6.20; Reject the null hypothesis
  d.
Χ2 = 5.20; Fail to reject the null hypothesis
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