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The proportion of eligible voters in the next election who will vote for the incumbent is...

The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.7%. What is the probability that in a random sample of 470 voters, less than 235 say they will vote for the incumbent? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal places.

Probability =

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The proportion of eligible voters in the next election who will vote for the incumbent is assumed to be 52.7%. What is the probability that in a random sample of 470 voters, less than 235 say they will vote for the incumbent? Remember to use the continuity correction and calculate z-scores to at least 3 decimal places. Give probabilities to 4 decimal places.

Probability =0.1114

n=470, p=0.527

Expectation = np = 247.69

Variance = np(1 - p) = 117.15737

Standard deviation = 10.8239

Z value for 235 with continuity correction, z =(234.5-247.69)/10.8239

=-1.219

P( x <235) = P( z < -1.219)

=0.1114

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