You may need to use the appropriate appendix table or technology to answer this question. Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 657 of 876 registered voters from rural Minnesota voted in the 2016 presidential election, while 378 out of 525 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p1 = the population proportion of voters in rural Minnesota who voted in the 2016 election and p2 = the population proportion of voters in urban Minnesota who voted in the 2016 election.) H0: p1 − p2 ≤ 0 Ha: p1 − p2 > 0 H0: p1 − p2 = 0 Ha: p1 − p2 ≠ 0 H0: p1 − p2 ≠ 0 Ha: p1 − p2 = 0 H0: p1 − p2 ≥ 0 Ha: p1 − p2 < 0 H0: p1 − p2 < 0 Ha: p1 − p2 = 0 (b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election? (c) What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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You may need to use the appropriate appendix table or technology to answer this question.

Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 657 of 876 registered voters from rural Minnesota voted in the 2016 presidential election, while 378 out of 525 registered voters from urban Minnesota voted.

(a)

Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p₁ = the population proportion of voters in rural Minnesota who voted in the 2016 election and p₂ = the population proportion of voters in urban Minnesota who voted in the 2016 election.)

H₀: p₁ − p₂ ≤ 0

H_a: p₁ − p₂ > 0

H₀: p₁ − p₂ = 0

H_a: p₁ − p₂ ≠ 0

H₀: p₁ − p₂ ≠ 0

H_a: p₁ − p₂ = 0

H₀: p₁ − p₂ ≥ 0

H_a: p₁ − p₂ < 0

H₀: p₁ − p₂ < 0

H_a: p₁ − p₂ = 0

(b)

What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?

(c)

What is the proportion of sampled registered voters in urban Minnesota that voted in the 2016 presidential election?

(d)

? = 0.05,

test the political analysts' hypothesis.

Calculate the test statistic. (Round your answer to two decimal places.)

What is the p-value? (Round your answer to four decimal places.)

p-value =

What conclusion do you draw from your results?

Reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.Do not reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. Reject H₀. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.Do not reject H₀. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.

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