13 terms

parameter

a number that describes some characteristic of the population

statistic

a number that describes some characteristic of a sample

sampling variability

the value of a statistic varies in repeated random sampling

sampling distribution

describes the values the statistic in all possible samples of the same size from the same population

distribution of sample data

gives the values of the variable for all individuals in a particular sample

unbiased estimator

a statistic used to estimate a parameter if the mean of its sampling distribution is equal to the true value of the parameter being estimated

biased estimator

if the center (mean) of its sampling distribution is not equal to the true value of the population

variability of a statistic

the spread of its sampling distribution. Determined by size of random sample: larger sample - smaller spread, size irrelevant when population 10+ times larger than sample

sampling distribution of p̂

Describes how the sample proportion varies in all possible samples from the population

mean of a sampling distribution of p̂

μ is equal to the population proportion of p. That is, p̂ is an unbiased estimator of p

standard deviation of a sampling distribution of p̂

as long as 10% condition is satisfied

Large Counts condition

Satisfied by making sure np is greater than or equal to 10 and n(1-p) is greater than or equal to 10.

mean of sampling distribution

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