Typical methods of recruiting new cashiers and clerks are newspaper advertisemen
ID: 3177657 • 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. 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
from abovee
for above chi stat 2.774 and 2 degree of freedom p value = 0.2498
as p vlaue is higher then 0.05 level, we can not reject null hypothesis.
there is not sufficient evidence of that
b)let 1 for successful and 2 denote unsuccessful
p1 =112/202=0.5545
p2-90/202=0.4455
n1=n2=202
std error =(p1(1-p1)/n1+p2(1-p2)/n2)1/2 =0.0494
for test stat z=(p1-p2)/std error =2.202
for above test stat p value =0.0277
as above p value is higher then 1% we can not reject null hypothesis that there is no difference
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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