chapter 22: inference about a population proportion Flashcards
p̂
tests and confidence intervals for a population proportion p when the data are an SRS of size n.
note: a “success” is when an observation has the desired outcome

the mean and standard deviation of the sample when finding p
the mean is p
the standard deviation is found with this formula

for large n, p̂ has approximately the distribution

the confidence interval for p is

The margin of error in the large-sample confidence interval for p is

p*
when we have to guess the proportion of successes
how to find the sample size for a desired margin of error
where p* is a guessed value for the sample proportion. The margin of error will always be less than or equal to m if you take the guess p* to be 0.5.

To test the hypothesis H0: p=p0
compute the z-statistic
