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 669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 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 H2: P1-р2-0 Ho: P₁ H: P₁ Ho: P₁ Ha P1 10. Ho: P₁ H: P₁ P₂=0 P₂ #0 P₂ 201 P₂ <0 P₂ <0 P₂ = 0 Ho: P1-P₂ ≤ 0 H₂P₁ 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.) ralue? (Round your answer to four decimal places.)
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 669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 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 H2: P1-р2-0 Ho: P₁ H: P₁ Ho: P₁ Ha P1 10. Ho: P₁ H: P₁ P₂=0 P₂ #0 P₂ 201 P₂ <0 P₂ <0 P₂ = 0 Ho: P1-P₂ ≤ 0 H₂P₁ 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.) ralue? (Round your answer to four decimal places.)
Chapter6: Systems Of Equations And Inequalities
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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
669 of 892 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 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
esc
1
Ho: P₁
H₂: P₁
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P₂ = 0
P₂ #0
Ho: P₁ P₂20
на: Р1-р2 < 0
1
но: P1-P2<0 0
Ha: P1 P₂ = 0
(b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?
Ho: P1 P₂ ≤ 0
Ha: P₁P₂0
(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?
Reject Ho. We cannot conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential election.
We can conclude that voters from rural Minnesota voted more frequently than voters from urban Minnesota in the 2016 Presidential
Do not reiect H
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