Saturday

December 20, 2014

December 20, 2014

Posted by **JJ** on Tuesday, December 17, 2013 at 7:24pm.

A) Many opinion polls have a "margin of error" of about plus or minus 3%. What is the probability that an SRS of size 300 has a sample proportion p-hat that is within plus or minus 3%(plus or minus .03)of the population proportion p=.44? (show how you would do it using a graphing calculator)

b) Answer the same question for SRSs of sizes 600 and 1200. What is the effect of increasing the size of the sample?

I need the work shown but the answers are:

a) Find P(0.41 ¡Ü p(hat) ¡Ü 0.47)=P(123 ¡Ü X ¡Ü 141. Software gives 0.7309.

b) For n=600, software gives 0.8719. For n=1200, software gives 0.9663. Larger sample sizes are more likely to produce values of p-hat close to the true value of p.

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