SOLUTION: A random sample of 59 professional cricket players revealed that fifteen preferred to the new ’white’ ball to the old one. (a) Construct a point estimate of the true proportio

Question 1164663: A random sample of 59 professional cricket players revealed that fifteen preferred to the new ’white’ ball to the old one.
(a) Construct a point estimate of the true proportion of all professional cricket players who prefer the new ’white’ ball to the old one.
(b) Construct a 95% confidence interval for the true proportion of all professional cricket players who prefer the new ’white’ ball to the old one.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
point estimate is 15/59 or 0.2542
95% CI half-interval is 1.96*sqrt(0.2542*0.7458/59)
it is z*SE which for a proportion the SE is sqrt (phat*(1-p hat)/n)
=0.1111
so interval is that added to and subtracted from point estimate
(0.1431, 3653), which means we are highly confident the true proportion lies in that interval.
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