SOLUTION: Random samples of employees were drawn in fastfood restaurants where the employer provides a training program. Of a sample of 67 employees who had not completed high school, 11 had
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Question 1105013: Random samples of employees were drawn in fastfood restaurants where the employer provides a training program. Of a sample of 67 employees who had not completed high school, 11 had participated in a training program provided by their current employer. Of an independent random sample of 113 employees who had completed high school but had not attended college, 27 had participated. Test at 1% level the null hypothesis that the participation rates are same for two groups against the alternative hypothesis that rate is lower for those who have not completed high school. Draw your conclusion with the help of p value Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho:p1=p2
Ha:p1 ne p2
the test statistic is a z=(p1-p2)/sqrt (p1(1-p1)/n1 + p2(1-p2)/n2)); critical value is |z|>2.576
z=(0.164-0.239)/SE
SE: pi*n1+p2*n2/(n1+n2)=38/180=0.2111, so SE is 0.211*0.789(1/67+1/113)
SE=sqrt (0.0040)=0.0629
z=-1.192
p-value is 0.24
Fail to reject Ho; insufficient evidence to say that there is a significant difference.
