MATH 1F92 Lecture Notes - Lecture 6: Confidence Interval, Simple Random Sample, Randomized Experiment

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1F92
• Professor: Lisa De Angelis

Document Summary

Instead of using p for the conditions we would have to use p-hat instead: conditions for a confidence interval: Constructing a (1-a)% * 100% confidence interval for a population proportion: suppose a simple random sample of size n is taken from a population or the data are the result of a randomized experiment. A (1-a)*100% confidence interval for p is given y the following quantities: Upper bound: +za/2* sqrt(1- )= +e confidence interval. Note: the conditions have to be met for us to be able to take a. What (cid:373)ight (cid:449)e ha(cid:448)e to adjust si(cid:374)(cid:272)e (cid:449)e do(cid:374)"t k(cid:374)o(cid:449) the true populatio(cid:374) proportio(cid:374): left hand side of equation is known as sample error. Margin of error, e, in a (1-a) *100% confidence interval for a population proportion: -za/2 p(1- )/n, + za/2, only adjustment is instead of p, find the following: n, a, , check 2 conditions of normality, formula.