真的好難......的maths question

用戶10960

2009-12-21 12:31 am

The chief executive officer of a large corporation has recently received
complaints from quite a few employees, saying that there has been unfair
treatment concerning workload between male staff and female staff.
Those employees claim that at least 60% of all the employees in the
corporation have the same view. To verify the claim, 45 employees are
Assignment File 3
randomly selected. Twenty-five of them expressed the view that there has
been unfair treatment concerning workload between male staff and
female staff.
a Test whether the claim of those employees is justified or not using
α = 0.01.
b Use the p-value approach to test the hypothesis at the same level of
significance.

回答 (1)

myisland8132

2009-12-21 1:32 am

✔ 最佳答案

(a) H0: p_0 = 0.6 H1: p_0 < 0.6

p=25/45=0.5556

Test-statistic
=| (0.5556-0.6)/√[(0.6)(0.4)/45] |
=0.6070
<2.3263

So, do not reject H0 and conclude that there is no evidence to reject that at least 60% of all the employees in the corporation have the view that there has been unfair treatment concerning workload between male staff and female staff.

(b)
the p-value is P(Z<-0.607)=0.2715. Since 0.2715 > 0.01, do not reject H0 and conclude that there is no evidence to reject that at least 60% of all the employees in the corporation have the view that there has been unfair treatment concerning workload between male staff and female staff.

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