A survey of 750 likely voters in Ohio was conducted by the Rasmussen Poll just prior tothe general election (Rasmussen Reports website, November 4, 2012). The state of theeconomy was thought to be an important determinant of how people would vote. Amongother things, the survey found that 165 of the respondents rated the economy as good orexcellent and 315 rated the economy as poor.a. Develop a point estimate of the proportion of likely voters in Ohio who rated theeconomy as good or excellent.b. Construct a 95% confidence interval for the proportion of likely voters in Ohio whorated the economy as good or excellent.c. Construct a 95% confidence interval for the proportion of likely voters in Ohio whorated the economy as poor.d. Which of the confidence intervals in parts (b) and (c) is wider? Why?
A survey of 750 likely voters in Ohio was conducted by the Rasmussen Poll just prior to
the general election (Rasmussen Reports website, November 4, 2012). The state of the
economy was thought to be an important determinant of how people would vote. Among
other things, the survey found that 165 of the respondents rated the economy as good or
excellent and 315 rated the economy as poor.
a. Develop a point estimate of the proportion of likely voters in Ohio who rated the
economy as good or excellent.
b. Construct a 95% confidence interval for the proportion of likely voters in Ohio who
rated the economy as good or excellent.
c. Construct a 95% confidence interval for the proportion of likely voters in Ohio who
rated the economy as poor.
d. Which of the confidence intervals in parts (b) and (c) is wider? Why?
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