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Univariate ChiSquare Test- 5 Step

# Univariate ChiSquare Test- 5 Step - Univariate Chisquare...

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Univariate Chisquare Test: Goodness of Fit test One Qualitative Random Variable; several or more groups Similar to Ztest for 2 sample proportions, but can extend to 3 or more group Step One: State the Research Hypotheses Null (Ho): Pwa=.20; Pdunk=.40; Pstar=.20; P711=.20 Dunkin Donuts coffee is prefered two to one over competition Model (1:2:1:1) is a good fit to the data; observed frequencies, and expected are not significantly different; any observed differences are due to chance Alternate(Ha): not Ho; dunkin donuts coffee is NOT prefered two to one over competition Model (1:2:1:1) is NOT a good fit to the data; observed frequencies differed from the expected frequencies Step Two: State the Decision Rule: using Alpha = .05 DF= [K-1] = 4 -1 = 3; ChiSquare Critical = 7.81473 where K represents "# of groups" or "categories Reject Null Hypothesis if ChiSquare Test exceeds ChiSquare Critical (notice N has nothing to do with degrees of freedom for ChiSquare Tests) Step Three: Collect the Data and Compute Test Statistic COFFEE CHOICE WA Dunk Star 711 Sum Proport Data O's Observe 39 42 25 14 120 Ratios(m 1

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