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.
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:
(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?
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