# 1 identify the point estimator for a population

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1.Identify the point estimator for a population proportion2.Compute the point estimate and confidence interval estimate of the population proportion3.Draw conclusions about the population proportion based on the confidence interval estimateI. INTRODUCTIONIn this lesson, we are interested in answering all questions that require population proportion.That means, instead ofunderstanding the average value in a sample, we will be dealing with the proportion of observations in a sample.II. DEVELOPMENTFINDING THE POINT ESTIMATE FOR POPULATION PROPORTIONAsample proportionis the point estimate of the population proportion where(“p-hat”) is the point estimator.Theformula in finding the point estimate is:and?̂(“q-hat”) is the complement ofwhere the formula is:During an election year, we see articles in the newspaper that state confidence intervals interms of proportions or percentages. For example, a poll for a particular candidate runningfor president might show that the candidate has 40% of the vote within three percentagepoints (if the sample is large enough). Often, election polls are calculated with 95%confidence, so, the pollsters would be 95% confident that the true proportion of voters whofavored the candidate would be between 0.37 and 0.43: (0.400.03,0.40 + 0.03).Where?= number of members in the sample𝑛= sample size?=???=??
Eample#1:Find?and?.??
Eample#2:Find?and?1.A survey of 4000 Filipino adultsfound that 1800 of those polled saythat they intend to vote for aparticular candidate.2.In a survey of 150 households, 60have air conditioners.3.In a random sample of 210teachers, 48 of them have master’sdegree..??0.6̂?
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Term
Summer
Professor
Sam smith
Tags
Statistical hypothesis testing