Non Parametric

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Running head: NON PARAMETRIC STATISTICS Non-Parametric Statistics Studentโs Name Professorโs Name Course Title Date NON PARAMETRIC STATISTICS 2 A researcher is examining preferences among four new flavors of ice cream. A sample of n = 80 people is obtained. Each person tastes all four flavors and then picks a favorite. The distribution of preferences is as follows. Do these data indicate any significance preferences among the four flavors? Test at the .05 level of significance. Ice Cream Flavor A B C D 12 18 28 22 For this case, the non-parametric chi square test is used at the 0.05 level of significance. Null Hypothesis: H0: There is no statistically significant difference in the peopleโs preferences among the four flavors. Alternative hypothesis: H1: There is a statistically significant difference in the peopleโs preferences among the four flavors. Assuming that the null hypothesis was true, the number of people expected to prefer any ๐๐ given flavor is 20 ( ๐ ). The Chi square statistic is obtained by: (๐๐โ๐๐)โ(๐๐โ๐๐) ๐๐ + (๐๐โ๐๐)โ(๐๐โ๐๐) ๐๐ + (๐๐โ๐๐)โ(๐๐โ๐๐) ๐๐ + (๐๐โ๐๐)โ(๐๐โ๐๐) ๐๐ = 6.8 The Critical value is obtained from the Chi-square distribution table as thus: K is the degrees of freedom and it is obtained by the number of groups less one. (K=3, ฮฑ= 0.05) = 7.814 NON PARAMETRIC STATISTICS ...
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