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1. Typical methods of recruiting new cashiers and clerks are newspaper advertise

ID: 3177280 • Letter: 1

Question

1. Typical methods of recruiting new cashiers and clerks are newspaper advertisements, notices in the store, and employee referrals. A recent study of new employees at one grocery chain had supervisors classify new recruits as “successful” and “unsuccessful”. A summary of the number of “successful” and “unsuccessful” recruits by source is given below.

Note that all 542 employees were screened through interviews and subsequently hired. The “successful/unsuccessful” assessment was made after a 3-month probationary period.

a) Is there evidence to suggest that some methods of recruitment are better than others? Use the classical approach at a significance level of 5%.

b) Is there evidence to suggest there is a difference in the proportion of “successful” and “unsuccessful” recruits hired through “In store notice”. Use the p-value approach at a significance level of 1%   

Successful Newspaper ad 54 In store notice 112 Employee referral 126 Unsuccessful 36 900 124

Explanation / Answer

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].

The chi-square statistic, p-value and statement of significance appear beneath the table.


The chi-square statistic is 2.7741. The p-value is .249813. The result is not significant at p < .05.

a) Since it is insignificant, there is no evidence to suggest that some methods of recruitment are better than others? Use the classical approach at a significance level of 5%

b)

The contingency table below provides the following information: the observed cell totals, (the expected cell totals) and [the chi-square statistic for each cell].


The chi-square statistic is 2.7741. The p-value is .249813. The result is not significant at p < .01

there is no evidence to suggest there is a difference in the proportion of “successful” and “unsuccessful” recruits hired through “In store notice”.

Results Successful Unsuccessful Row Totals Newspaper ad 54  (48.49)  [0.63] 36  (41.51)  [0.73] 90 In store notice 112  (108.83)  [0.09] 90  (93.17)  [0.11] 202 Employee Referral 126  (134.69)  [0.56] 124  (115.31)  [0.65] 250 Column Totals 292 250 542  (Grand Total)