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a recent study found that 555 people said yes they smoke, while the remaining 439 said...

a recent study found that 555 people said yes they smoke, while the remaining 439 said they do o not. What is the 95% confidence interval for the estimated popopulation value that smokes?

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Answer #1

is the total sample size

is the sample proportion that smokes

The estimated standard error of proportions is

Since the values are both greater than 5, we can use normal distribution to approximate the distribution of sample proportions

95% confidence interval indicates that the significance level is

The right tail critical value is

Using the standard normal table, we get for z=1.96, P(Z<1.96)=0.975

Hence

95% confidence interval is

ans: the 95% confidence interval for population proportion that smokes is  [0.5275, 0.5892]

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