A survey is given in two cities in the same county, Yorktown and Smallille, to S

Question

A survey is given in two cities in the same county, Yorktown and Smallille, to Selet one answer. estimate the percentage of voters in support of a new stadium. In Yorktown, a 10points simple random sample of 1,200 eligible voters is taken, and it turns out that 975 people support a new stadium. In Smallville, a simple random sample of 1,60o eligible voters is taken, and 1,050 people support a new stadium. Which of the following is the most accurate estimate you can make about the difference in the A. In the long run, the proportion of voters in favor of a new stadium is about o.72 B. People in Yorktown are 15% more likely to vote in favor of a new stadium. C. O It is possible that the true difference in the proportion of Yorktown voters in favor of a new stadium and the proportion of Smallville voters in favor of a new stadium is o.16. D. The proportion of all voters in the county who support a new stadium ranges from 0.66 to o.81

Explanation / Answer

Answer: Option C

It is possible that the true difference in the porportion of Yorktown voters in favor of a new stadium and the proportion of smallville voters in favor of a new stadium is0.16

(975/1200 - 1050/1600) = 0.16

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