what is the margin of error formula?
1/√n * 100
what is the confidence interval?
p̂ ± M.E
confidence statements are always about?
p as estimated from p̂
why can we use the normal curve for calculating confidence intervals?
because SRS are normal samples that will distribute normally
what is the formula for calculating margin of error for a confidence interval
p̂ ± z * √ p̂ (1-p̂)/n x 100 margin of error
what is the critical z score for 95% (0.05) confidence?
1.96
what is the critical z score for 99% (0.01) confidence?
2.58
why does C.I increase when C.L increases?
if you want to be more certain (confident) that p is within the CI, the CL has to increase
why does CI decrease when sample size increases?
because as sample size increases, all p̂s become more accurate (closer to p). the CI shrinks to reflect this
what is the formula for ME of mean?
x̄ ± z * s/√ n margin of error