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 660 of 880 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.) Ho: P1 Ha: P₁ Ho: P1-P₂ * 0 Ha: P₁ P₂ = 0 Ho: P1 Ha: P1 Ho: P1 Ha: P1 P₂ ≥ 0 P₂ <0 Ho: P1 Ha: P₁ P₂ = 0 P₂ #0 P₂ ≤ 0 P₂ > 0 P₂ <0 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?

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Question 7

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 660 of 880 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.)
Ho: P1 P₂ ≥ 0
Ha: P₁ P₂ <0
Ho: P₁-P₂ #0
Ha: P1
P2 = 0
Ho: P₁
Ha: P1
P₂ = 0
P₂ * 0
Ho: P₁-P₂ ≤0
Ha: P1-P₂ > 0
Ho: 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?
(d) At a = 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?
O Do not reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016
Presidential election.
O Reject Ho. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential
election.
O Reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential
election.
Do not reject Ho. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential
election.
Transcribed Image Text: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 660 of 880 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.) Ho: P1 P₂ ≥ 0 Ha: P₁ P₂ <0 Ho: P₁-P₂ #0 Ha: P1 P2 = 0 Ho: P₁ Ha: P1 P₂ = 0 P₂ * 0 Ho: P₁-P₂ ≤0 Ha: P1-P₂ > 0 Ho: 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? (d) At a = 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? O Do not reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Reject Ho. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. Do not reject Ho. 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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