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In each of parts (a)-(c), we have given a likely range for the observed value of

ID: 2955436 • Letter: I

Question

In each of parts (a)-(c), we have given a likely range for the observed value of a sample proportion . Based on the given range, identify the educated guess that should be used for the observed value of to calculate the required sample size for a prescribed confidence level and margin of error. 0.4 to 0.7 0.7 or greater 0.7 or less In each of parts (a)-(c), which observed values of the sample proportion will yield a larger margin of error than the one specified if the educated guess is used for the sample size computation?

Explanation / Answer

I have not heard of this term educated guess in thiscontext. There is a term, conservative estimate, which would be thenumber that you enter into the SD formula for proportions so thatthe SD is maximized. SD = [p(1-p)] So the conservative estimate for the SD is to let p =0.5. The sample size formula is: z1-/2 = / SE(phat) whichimplies below n = (z1-/2)2p(1-p) /2 In part a) p = 0.5. In part b) p = 0.7. In part c) p = 0.5. By using these numbers, we would get an upper bound in findingthe sample size calculation. However, my guess of the definition of an educatedguess is probably not right, because part d asks for what values ofthe sample proporiton will yield a larger margin or error. I'musing the values of p that would guarantee the largest marginof error. Send me a PM for post a clarification asto the definition of an educated guess. Thanks, Mike
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