sta135-16-16

sta135-16-16 - Chapter 16 Confidence Intervals Standard...

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Chapter 16 Confidence Intervals

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Standard Error for a Proportion What is the sampling distribution? Usually we do not know the population proportion p . We cannot find the standard deviation of the sampling distribution: After taking a sample, we only know the sample proportion, which we use as an approximation. The standard error is given by pq n ˆ ˆ ˆ pq SE p n
A recent survey found that 48 of 156 people update their Facebook status daily. Find the approximate sampling distribution using the standard error.

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Confidence Intervals and Margin of Error A 95% Confidence interval for a population proportion: The distance, , from is called the margin of error . ˆ p
A recent survey found that 48 of 156 people update their Facebook status daily. What is the 95% confidence interval and the margin of error?

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Interpreting Confidence Intervals Technically Correct I am 95% confident that the interval from 23.4% to 38.2% captures the true proportion of Facebook users who update daily.
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