The 96% confidence level will produce the widest proportion of 0.7.
What is confidence level ?
In statistics, the confidence level indicates the probability, with which the estimation of the location of a statistical parameter
We have,
Sample proportion(p) = 0.7
We know the formula of confidence interval = p ± z [tex]\sqrt{\frac{p ( 1-p)}{n} }[/tex]
p is given , n is constant.
So this is the widest interval.
↔ z get max
As confidence level increases , z increases too.
= > Choose max in four answer
= > A
Hence , the 96% confidence level will produce the widest proportion of 0.7.
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