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a) The null: The proportion of registered voters who are planning to vote for the incument president <0.5
The alternative: The proportion of registered voters who are planning to vote for the incument president ≥0.5
b) Test statistic=(636/1200-0.5)/sqrt(0.5*0.5/1200)=2.08
c) CV is Z0.05=1.64
d) From the standard normal table, the p-value for the test statistic, z = 2.08 is 1-0.9812=0.0188.
e) Since p-value is lower than 0.05, we reject the null and conclude that the proportion of registered voters who are planning to vote for the incument president increases significantly at 5% significance level.
f) We say the proportion of registered voters who are planning to vote for the incument president increases significantly, while in fact it does not.
g) We say the proportion of registered voters who are planning to vote for the incument president does not increases significantly, while in fact it does.
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