In a retail study the traits of salespersons that were considered most important

Question

In a retail study the traits of salespersons that were considered most important by sales managers were listed. These sales managers were also asked what traits they considered most important in a sales manager. The results are given in the table below: Does the data give evidence at the .05 level that the traits independent? Ho: Ha: Compute your test statistic: and p-value: and state your conclusion: There (is/is not) statistically significant evidence to conclude that sales person and sales manager traits are dependent.

Explanation / Answer

Ho: traits are independent to postiion

Ha: traits are dependent to position

test stat X2 =13.6176

p value =0.0086

there is statistically...

sales person Observed O reliability enthusiasm Other Total manager reliability 12 18 20 50 enthusiasm 23 7 11 41 Other 9 5 15 29 Total 44 30 46 120 Expected E=rowtotal*column total/grand total reliability enthusiasm Other Total reliability 18.333 12.500 19.167 50 enthusiasm 15.033 10.250 15.717 41 Other 10.633 7.250 11.117 29 Total 44 30 46 120 chi square =(O-E)^2/E reliability enthusiasm Other Total reliability 2.188 2.4200 0.0362 4.644 enthusiasm 4.222 1.030 1.416 6.668 Other 0.251 0.698 1.357 2.306 Total 6.661 4.149 2.808 13.6176

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