SOLUTION: A survey of 200 Johannesburg and 100 Pretoria residents was carried out by Miss Joan Amanda, a statistician with Analytics Standard Statistician and Econometric Research & Consulti

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Question 1185793: A survey of 200 Johannesburg and 100 Pretoria residents was carried out by Miss Joan Amanda, a statistician with Analytics Standard Statistician and Econometric Research & Consulting (ASERC) (Pty) Ltd in Pretoria. A sample of 104 residents from Johannesburg and 48 from Pretoria indicated that they would be happy to donate R100 once off to the Health World Charity if asked to do so by their local governments.
Is the proportion of Johannesburg residents willing to pay the special levy different from that Pretoria at 5% level of significance?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
combined proportion is (104+48)/(200+100)=152/300, p1=0.52; p2=0.48, pc=0.506667
random samples assumed
reject Ho if |z| >1.96
z=(p1-p2)/pc(1-pc)((1/200)+(1/100))
=0.04/sqrt[(0.506667*0.493333)(0.015)
=0.04/0.0612
=0.65
fail to reject Ho at the 5 % level. There is no significant difference at the 5% level.