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just before a referendum on a school​ budget, a local newspaper polls 397 voters to predict...

just before a referendum on a school​ budget, a local newspaper polls 397 voters to predict whether the budget will pass. Suppose the budget has the support of 55​% of the voters. What is the probability that the​ newspaper's sample will lead it to predict​ defeat?

Math   Statistics-And-Probability   
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Answer #1

Solution

Given that,

p = 0.55

1 - p = 1 - 0.55

n = 397

= p = 0.55

=  p ( 1 - p ) / n

=   (0.55 * 0.45) / 397 = 0.025

P( < 0.5) =

= P(( - ) / < (0.5 - 0.55) / 0.025)

= P(z < -1)

= 0.1587

Probability = 0.1587

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