SOLUTION: A survey of 200 Johannesburg and 100 Pretoria residents was carried out by Miss Joan Amanda, a Statistician with Analytics Statistical and Econometric Research & Consulting (ASERC)

Question 1187130: A survey of 200 Johannesburg and 100 Pretoria residents was carried out by Miss Joan Amanda, a Statistician with Analytics Statistical 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 Heal the 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 the 5% level of significance?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
pJ=0.52
pP=0.48
Ho:they are equal
Ha: they are not equal
alpha=0.05 p{reject Ho|Ho true}
test stat is a z
critical value for rejection is |z|>1.96
pooled proportion is 152/300=0.507
z=(0.52-0.48)/sqrt(0.507(0.493)(1/200)+(1/100))
=0.04/0.0612
z=0.65 fail to reject; insufficient evidence to say the two proportions are different.
p-value =0.51
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