Ans:
pooled proportion=(0.6*400+0.5*450)/(400+450)=0.5471
Test statistic:
z=((0.6-0.5)-0.05)/SQRT(0.5471*(1-0.5471)*((1/400)+(1/450)))
z=1.47
p-value(2 tailed)=2*P(z>1.47)=2*0.071=0.142
alpha=0.12
As,p-value>0.12,we fail to reject the null hypothesis.
not rejected,with a calculated test statistic value of 1.47 and p-value=0.071
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