Typical methods of recruiting new cashiers and clerks are newspaper advertisemen
ID: 3177699 • Letter: T
Question
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.
Successful Unsuccessful
Newspaper ad 54, 36
In store notice 112 90
Employee referral 126 124
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%.
Explanation / Answer
a) here from above given information
for above chi stat 2.774 at 2 degree of freedom p value =0.2498
whcih is higher then 0.05 level; hence we can not reject that all methods are equally efficent
b) let successful is 1 and unsuccesful is 2
hene p1= 112/202 =0.5545
p2=90/202=0.4455
hence std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2 =0.0495
hence std error =(p1-p2)/std error =2.2022
for which p value =0.0277
as p vlaue is higher then 0.01 level, we can not suggest there is a difference in the proportion of “successful” and “unsuccessful” recruits hired through “In store notice”.
Observed O successful unsuccessful Total Newspaper 54 36 90 In store 112 90 202 Employee referral 126 124 250 Total 292 250 542 Expected E=rowtotal*column total/grand total successful unsuccessful Total Newspaper 48.487 41.513 90 In store 108.827 93.173 202 Employee referral 134.686 115.314 250 Total 292 250 542 chi square =(O-E)^2/E successful unsuccessful Total Newspaper 0.627 0.732 1.359 In store 0.093 0.108 0.201 Employee referral 0.560 0.654 1.215 Total 1.280 1.495 2.774Related Questions
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