Estimating A Population Proportion. Answer to Number 2. Recall that the purpose of a confidence interval is to use a sample proportion to construct an interval of values that we can be reasonably confident contains the true population proportion. One example is when supporters of a political candidate or a ballot referendum conduct a poll to determine how much support they can expect from the. The value 0438 represents a population proportion.
N m 1 m 1 N. Q 1 p 1 Definition 11 point estimate. Students results will be around. We therefore use an interval estimate called a confidence interval to give us a range of values for the population proportion. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy Safety How YouTube works Test new features Press Copyright Contact us Creators. When data from a simple random sample are used to estimate a population proportion p the margin of error also called the maximum error of the estimate denoted by E is the maximum likely difference with probability 1 α such as 095 between the observed sample proportion 𝑝 and the true value of the population proportion p.
By examining the distribution of sample proportions from many random samples students see that sample proportions tend to cluster around the value of the population proportion.
In Estimating a Population Proportion we continue our discussion of estimating a population proportion with a confidence interval.