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 615 of 820 registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550 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 P, = the population proportion of voters in rural Minnesota who voted in the 2016 election and p, = the population proportion of voters in urban Minnesota who voted in the 2016 election.) O Ho: P1 - P2s0 HgiPz - P2 >0 O Ho: P1 - P2 2 0 H: P1 - P2 < 0 HoiP1- P2 = 0 H: P1 - P2 * 0 o Ho: P1 - P2 < 0 H3: P1 - P2 = 0 O Ho: P1 - P2 * 0 H: P - 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 Reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Do not reject H. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Reject H. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. 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.

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Chapter11: Data Analysis And Probability
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Minnesota had the highest turnout rate of any state for the 2016 presidential election.t Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 615 of 820
registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550 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
P, = the population proportion of voters in rural Minnesota who voted in the 2016 election and p, = the population proportion of voters in urban Minnesota who voted in the 2016 election.)
Hoi P1- P2s0
Hai P1- P2 > 0
Ho: P1 - P2 2 0
Ha: P1 - P2 < 0
Ho: P1 - P2 = 0
Ha: P1- P2 + 0
Ho:P1 - P2 < 0
Ha: P1 - P2 = 0
Ho:P1- P2 + 0
H3: P, - 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 Reject H.. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
O Do not reject H.. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
O Reject H. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
O Do not reject H.. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
Transcribed Image Text:Minnesota had the highest turnout rate of any state for the 2016 presidential election.t Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 615 of 820 registered voters from rural Minnesota voted in the 2016 presidential election, while 396 out of 550 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 P, = the population proportion of voters in rural Minnesota who voted in the 2016 election and p, = the population proportion of voters in urban Minnesota who voted in the 2016 election.) Hoi P1- P2s0 Hai P1- P2 > 0 Ho: P1 - P2 2 0 Ha: P1 - P2 < 0 Ho: P1 - P2 = 0 Ha: P1- P2 + 0 Ho:P1 - P2 < 0 Ha: P1 - P2 = 0 Ho:P1- P2 + 0 H3: P, - 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 Reject H.. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Do not reject H.. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Reject H. We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election. O Do not reject H.. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
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