Minnesota had the highest turnout rate of any state for the 2012 Presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2012 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 2012 Presidential election. Họ : Prural Select Ha : Prural Select b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election (to 2 Purban Purban decimals)? c. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election (to 2 decimals)?

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Minnesota had the highest turnout rate of any state for the 2012 Presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2012 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 2012 Presidential election.
- \( H_0: p_{\text{rural}} \) [Select] \( p_{\text{urban}} \)
- \( H_a: p_{\text{rural}} \) [Select] \( p_{\text{urban}} \)

b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election (to 2 decimals)?

[Input box]

c. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election (to 2 decimals)?

[Input box]

d. At \( \alpha = 0.05 \), test the hypothesis. What is the p-value, and what conclusion do you draw from your results (to 4 decimals)? Use z-table.
- p-value: [Select]
- Conclusion: [Select]
Transcribed Image Text:Minnesota had the highest turnout rate of any state for the 2012 Presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2012 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 2012 Presidential election. - \( H_0: p_{\text{rural}} \) [Select] \( p_{\text{urban}} \) - \( H_a: p_{\text{rural}} \) [Select] \( p_{\text{urban}} \) b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election (to 2 decimals)? [Input box] c. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election (to 2 decimals)? [Input box] d. At \( \alpha = 0.05 \), test the hypothesis. What is the p-value, and what conclusion do you draw from your results (to 4 decimals)? Use z-table. - p-value: [Select] - Conclusion: [Select]
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