Answer to Question #261332 in Statistics and Probability for zee

Question

your younger brother is getting stickers from a vending machine at the local supermarket. a proportion of stickers have the phrase "girls rule." if there are 8 stickers with this message in a sample of 36 stickers, what is the 95% confidence interval for this proportion

Answer 1

$\hat p=\frac{8}{36}=0.2222.$

$95\%CI=(0.2222-1.96\sqrt{\frac{0.2222(1-0.2222)}{36}},0.2222+1.96\sqrt{\frac{0.2222(1-0.2222)}{36}})=$

$=(0.0864,0.3580).$