Do these polls give strong evidence that the candidate's share of the vote in these two states is different, at the a
= 0.05 significance level?
Find the z-table here.
In the US, primary elections are held to determine who
will be the presidential candidate for a particular party.
Two of the first states to hold primary elections for
president are lowa and New Hampshire. A candidate
wishes to know if her popularity in these states is similar.
She decides to conducts polls of random samples of
voters to determine their voting preference. A recent poll
of 825 voters in lowa shows this candidate has 24% of
the vote, while a different poll of 775 voters from New
Hampshire shows this candidate has 20% of the vote in
New Hampshire.
O The test statistic is z = 1.93 and the P-value =
0.0538. Because 0.0538 > 0.05, there is not sufficient
evidence that the candidate's levels of support are
different in the two states.
O The test statistic is z = 1.93 and the P-value =
0.0538. Because 0.0538 > 0.05, there is sufficient
evidence that the candidate's levels of support are
different in the two states.
O The test statistic is z = 1.93 and the P-value =
0.0269. Because 0.0269 < 0.05, there is not sufficient
evidence that the candidate's levels of support are
different in the two states