STA 2023H Lecture Notes - Lecture 26: Point Estimation, Central Limit Theorem, Confidence Interval
Document Summary
P = population proportion (between 0 and 1) = mean. P[hat] = sample proportion (unbiased and efficient) = sample mean. Standard error = stnd. dev. p[hat] = [square root of pq/n]. Np[hat] is greater than or equal to 15, and nq[hat] is greater than or equal to 15. If both of these apply, use the central limit theorem. Confidence interval = p[hat] za/2[square root of p[hat]q[hat]/n]. Where p[hat] = x/n , and q[hat] = When n is large, p[hat] can approximate p in the standard error. Find (cid:1013)(cid:1013)% confidence inter(cid:448)al for proportion (cid:449)ho said (cid:862)yes(cid:863). Point estimate (p[hat]) = x/n = 1078/1414 = . 76. Check np[hat] and nq[hat] are greater than or equal to 15.
