Minnesota had the highest tumout rate of any state for the 2016 presidential election.t Political analysts wonder if turnout registered voters from rural Minnesota voted in the 2016 presidential election, while 378 out of 525 registered voters from urban Minnesota voted. rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 648 of 864 (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 p, = the population proportion of voters in urban Minnesota who voted in the 2016 election.) o Ho: P1- P2 0 H P1- P2 < 0 Ho: P1- P2= 0 H P1- P2 # 0 Ho P1- P25 0 Hai P1- P2>0 o Ho: P1- P2* 0 Hai P1- P2 = 0 OF Ho: P1- P2<0 H 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 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. 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 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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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Chapter11: Data Analysis And Probability
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Minnesota had the highest tumout 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 648 of 864
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
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- P2 2 0
Ha P1- P2 < 0
Ho: P1- P2 = 0
H: P1- P2 # 0
o Ho: P1-P2s O
H P1- P2 > 0
o Ho: P1- P2 * 0
H3i P1- P2 = 0
Ho: P1- P2 < 0
H 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 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 cannot 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.
Transcribed Image Text:Minnesota had the highest tumout 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 648 of 864 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 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- P2 2 0 Ha P1- P2 < 0 Ho: P1- P2 = 0 H: P1- P2 # 0 o Ho: P1-P2s O H P1- P2 > 0 o Ho: P1- P2 * 0 H3i P1- P2 = 0 Ho: P1- P2 < 0 H 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 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 cannot 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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