uppose Victor is conducting a study to discover a potential association between overall happiness and...

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uppose Victor is conducting a study to discover a potential association between overall happiness and income level Victor andomly surveys 241 American adults and asks them to report their overall happiness and current income level Both income nd happiness were reported as low medium or high The table and summary output show the results of Victor s survey Low income Medium income High income All Pearson Observed count Expected count Chi square Observed count Expected count Chi square Observed count Expected count Chi square Observed count Chi square 31 852147 Low happiness 31 18 90 7 738849 22 22 57 0 014526 15 26 52 5 006082 68 DF 4 Medium happiness 24 26 13 0 174063 39 31 20 1 948133 31 36 66 0 874969 94 P value 0 0001 High happiness 12 21 96 4 519240 19 26 22 1 990047 48 30 81 9 586238 79 E All 67 80 94 241 3 If you wish you may download the data in your preferred format CrunchIt CSV Excel JMP Mac Text Minitab10 14 Minitab18 PC Text R SPSS TI Calc Based on Victor s table of income versus happiness which three cells have the largest contribution to the chi square test statistic Relatively small and relatively large values indicate observed counts that are smaller and larger than the expected counts respectively

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