1. Prior to a state wide senate election, three polls are conducted concerning a particular candidate’s popularity. In the first poll, 700 of 1520 voters favor the candidate. In the second poll, 1285 of 2510 favor the candidate. In the third poll, 1799 of

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1. Prior to a state wide senate election, three polls are conducted concerning a particular candidate’s popularity. In the first poll, 700 of 1520 voters favor the candidate. In the second poll, 1285 of 2510 favor the candidate. In the third poll, 1799 of 3521 voters favor the candidate. Find 95% confidence intervals for the proportion of voters in favor of the candidate for all three polls. Discuss the candidate’s prospects for victory based on these polls.

The 95% confidence interval for the first poll is ___

The 95% confidence interval for the second poll is ___

The 95% confidence interval for the third poll is ____

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2. Suppose that, in a suburb of 12,440 people, 6,370 people moved three within the last five years. You survey 400 people and find that 197 of the people in your sample moved to the suburb in the last five years.

What is the population of people who moved to the suburb in the last five years? The population proportion is ________________________ (Round to the nearest thousandth as needed)

What is the sample proportion of people who moved to the suburb in the last five years?

The sample proportion is ________________ (Round to the nearest thousandth as needed)

Does your sample appear to be representative of the population? Yes or No

3.

One research wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.24 hour is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.

The minimum sample size required to estimate the population mean with the stated accuracy is _________________ (Round to the nearest integer as needed)

4. Assume that population means are to be estimated from the sample described. Use the sample results to approximate the margin of error and 95% confidence interval. Sample size= 1,083, sample means= $46,196, sample standard deviation= $29,000

The margin of error is $___________________ (Round to the nearest dollar as needed)

Find the 95% confidence interval. $__________

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