Studied by 0 peopleConfidence Interval for Proportions
Just like with mu, we don’t know the value of P but we have p-hat
Conditions for estimating P
SRS
Approximately normal (n(p-hat)≥10, n(1-phat)≥10)
Independent (10n≤N)
If conditions are met, it is safe to make a confidence interval
Constructing a confidence interval for p
(Check formula sheet, then plug in statistic, critical value (z*), and SD equation (it’s on the sheet))
statistic = p-hat
The margin of error (ME) is the confidence interval for p
To determine the sample size n that yields a level C confidence interval for a population proportion p
≤ ME
Margin of error for a 1-sample z interval
Margin of error for a 1 sample t-interval
PANIC MEANS TO ROUND
UP
Standard error
Standard deviation of a statistic/sample
Note
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