According to an exit poll for an? election, 55.1?% of the sample size of 839 reported voting for a specific candidate. Is this enough evidence to predict who? won? Test that the population proportion who voted for this candidate was 0.50 against the alternative that it differed from 0.50.
a. Report the test statistic and? P-value
z=?
?(Round to two decimal places as? needed.)
?P-value=?
?(Round to three decimal places as? needed.)
a) Z = (p - P)/sqrt(P(1 - P)/n)
= (0.551 - 0.5)/sqrt(0.5 * (1 - 0.5)/839)
= 2.95
P-value = 2 * P(Z > 2.95)
= 2 * (1 - P(Z < 2.95))
= 2 * (1 - 0.9984)
= 0.003
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