Find the sample proportion at candy that are red The proport

Find the sample proportion at candy that are red. The proportion of red candy = Use that result to construct a 96% confidence interval estimate of the population percentage of candy that are red. %

Solution

Proportion of red candy = 8/41 =0.195

CI for proportion

P =0.195

Z value for 95% = 1.96

CI = p \\pm z* \\sqrt {(p*(1-p)/(n))}

CI = 0.8 \\pm 1.96 \\sqrt{(0.195*(1-0.195)/(41))}

=( 0.734, 0.866)

95% confidence interval =(0.074, 0.316)

Answer = (7.4% < P < 31.6%)

No, because the confidence interval does not include 33%