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Math · Statistics And Probability
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Chapter 4 Homework 1. An urn contains only black and white marbles with unknown proportions. If a random sample of size 100 is drawn and it contains 47 black marbles find the following. (a) The percentage of black marbles in the urn is estimated as with a standard error of (b) The SE measures the likely size of the error due to chance the estimate of the percentage of black marbles in the urn. (T (c) Suppose your estimate of the proportion of black marbles in the urn is p. Then p is likely to be off the true proportion of black marbles in the urn by the SE. IT/F). (d) A 95% CI for the proportion of black marbles in the urn is to (e) What is a 95% CI for the proportion of black marbles in the sample, or does that make sense? Explain. (f) Suppose we know that 53% of the marbles in the urn are black. We take a random sample of 100 marbles and figure the SE as 0.016. Find the chance that the proportion of black marbles in the sample is between 0.53-0.032 and 0.53 0.032.
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