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