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. H0 : prural purba Ha : plural purba b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election (to 2 decimals)

Question

Princess Clay

Mathematics

2 January, 03:30

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. H0 : prural purba Ha : plural purba b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election (to 2 decimals)

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Answers (1)

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Destiney Spears · Answer 1

a)

H0: The probability that a voter from rural Minnesota actually voted in 2012 is 73.81%

Ha: The probability that a voter from rural Minnesota actually voted in 2012 is more than 73.81%

b) 75%

Step-by-step explanation:

a)

According to the sample, 663+414=1,077 voters did vote out of 884+575 = 1,459 registered voters.

So the likelihood a registered voters actually voted in Minnesota in 2012 was

1,077/1,459 = 0.7381 = 73.81%

So we can formulate the following hypothesis

H0: The probability that a voter from rural Minnesota actually voted in 2012 is 73.81%

Ha: The probability that a voter from rural Minnesota actually voted in 2012 is more than 73.81%

b)

The proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election is

663/884 = 0.75 = 75%