projecting winning candidate uil De used to estimate these parameters. Projectin

Question

projecting winning candidate uil De used to estimate these parameters. Projecting winning candidate News coverage during a recent election projected that a certain candidate would receive 548% of all votes cast; the projection had a margin of error of ± 3 % a. Give a point estimate for the proportion of all votes 2 the candidate will receive. votes the candidate will receive. nnint estimate and an interval estimate. b. Give an interval estimate for the proportion of all c. In your own words, state the difference between a

Explanation / Answer

a) Here we have, percentage of votes the new candidate receive is 54.8%.

So point estimate = p = 0.548

b) We have margin of error E = 0.03

Hence the interval estimate is given by

( p - E , p + E )

( 0.548 - 0.03 , 0.548 + 0.03 )

( 0.518, 0.578 )

c. Point gives only one value for the population proportion where as interval estimate gives range of all possible values for population proportion. The interval estimate is more accurate than point estimate.

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