Confidence Interval for a Single Proportion Example 2: Movie Goers are More Likely to Watch at Home In a random sample of 500 movie goers in January 2013, 320 of them said they are more likely to wait...

Confidence Interval for a Single Proportion

Example 2: Movie Goers are More Likely to Watch at Home

In a random sample of 500 movie goers in January 2013, 320 of them said they are more likely to wait and watch a new movie in the comfort of their own home. Find and interpret a 95% confidence interval for the proportion of movie goers who are more likely to watch a new movie from home.

Example 3: Sample Size and Margin of Error for Movie Goers

(a) What is the margin of error for the confidence interval found in Example 2?

(b) What sample size is needed if we want a margin of error within ±2%? (Use the sample proportion from the original sample.)

(c) What sample size is needed if we want a margin of error within ±2%, and if we use the conservative estimate of p = 0.5?