Lecture 7: Sampling Distributions for Sample Proportions

sample proportion (phat)

the observed sample proportion (a statistic) and varies from sample to sample

sampling distribution

the distribution of all possible values of a statistic for repeated samples of the same size from a population

population proportion

the mean of the distribution of all possible sample proportion values is the value of the ____________________

decline

as your sample size increases, the variability of p̂ appears to ____________

sqrt [(p(1-p)/n]

standard deviation of the distribution of all possible sample proportion values is

approximately normal

if the sample size is large enough, the distribution of all possible sample proportions is ________________

np >=10, n(1-p)>=10

success failure condition

normal (p, sqrt[(p(1-p)/n]

if the sample size n is large enough, (namely, np ≥ 10 and n(1-p) ≥ 10), the distribution of the possible sample proportion (p̂) is approximately