# STA 2023 Lecture Notes - Lecture 2: Central Limit Theorem, Binomial Distribution, Statistic

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11 Mar 2019
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what sampling distribution do we use if we have quantitative data?
quantitative
what sampling distribution do we use if we have categorical data?
qualitative
what does p-hat estimate in a sample proportion?
population proportion
what are possible values of p-hat?
0-1
what is the purpose of a sampling distribution?
see the pattern when we take many samples and compute the sample statistic
for each
why are statistics random variables?
they come from random samples
what is the distribution of a statistic called?
sampling distribution
does p-hat have a binomial distribution?
never
what is the mean of the distribution of p-hat?
p
what is the standard error of the distribution of p-hat?
sq rt (p(1-p)/n)
conditions for sampling distribution of p-hat
p≥ 15 AND n(1-p) ≥ 15
what does x-bar estimate?
μ
what represents the true proportion of successes in the entire population (a
parameter)?
p
what represents the proportion of successes computed for the sample (a statistic
or estimator)?
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