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 Iowa 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 Iowa 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. Do these polls give strong evidence that the candidate’s share of the vote in these two states is different, at the α = 0.05 significance level? A. 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. B. 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. C. 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. D. The test statistic is z = –1.93 and the P-value = 0.0269. Because 0.0269 < 0.05, there is sufficient evidence that the candidate’s levels of support are different in the two states. E. The test statistic is z = –1.93 and the P-value = 0.9731. Because 0.9731 > 0.05, there is not sufficient evidence that the candidate’s levels of support are different in the two states.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 8E

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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 Iowa 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 Iowa 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.

Do these polls give strong evidence that the candidate’s share of the vote in these two states is different, at the α = 0.05 significance level?

A. 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.

B. 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.

C. 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.

D. The test statistic is z = –1.93 and the P-value = 0.0269. Because 0.0269 < 0.05, there is sufficient evidence that the candidate’s levels of support are different in the two states.

E. The test statistic is z = –1.93 and the P-value = 0.9731. Because 0.9731 > 0.05, there is not sufficient evidence that the candidate’s levels of support are different in the two states.

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