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This activity will help you distinguish between a sample statistic and a population parameter Part I Proportions from Random Samples Vary Imagine a small college with only 200 students, and suppose that 60% of these students are eligible for financial aid. What is the population? What is the variable? What is the population proportion? Note: Populations are usually much larger than 200 people. Also, in real situations, we do not know the population proportion. We are using a simplified situation to investigate how random samples relate to the population. Question: How accurate are random samples at prediction this population proportion of 0.60 (p-0.60) Considerthefollowing random samplesand determine the proportion who are eligible forfinancial aid RandomSample 1Random Sample 2 Random Sample 3 es es es No Nlo es es es es 05 es es Sample Proportions: P- p. P : P- What is the sample size? Each random sample came from a population in which the proportion eligible for financial aid is 0.60. Do all samples have the same proportions? Do all samples give good estimates of the population proportion? Explain.
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