36 53 of registered voters voted for the winner We will see
36. 53% of registered voters voted for the winner. We will see later that in this situation the proportion of the sample who planned to vote for the winner (call this proportion V) has approximately the Normal distribution with mean = 0.53 and standard deviation = 0.008.
(a) If the respondents answer truthfully, what is P(0.51 V 0.55)? This is the probability that the sample proportion V estimates the population proportion 0.53 within plus or minus 0.02. (Round your answer to four decimal places.)
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(b) In fact, 51% of the respondents said they planned to vote for the winner (V = 0.51). If respondents answer truthfully, what is P(V 0.51)? (Round your answer to four decimal places.) You may need to use the appropriate Appendix Table to answer this question. http://www.webassign.net/mbasicstat6/appendix-tables.pdf
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Solution
