Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education ison the ballot in a large town (voting population over 100,000). An exit poll of 400 voters finds that 188 voted for the referendum. How likely are the results of yoursample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to callelections.How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51?The probability that fewer than 188 people voted for the referendum is(Round to four decimal places as needed.)

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Answered: Exit polling is a popular technique…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 63% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the…
The true proportion of voters in favor of a candidate is unknown. A random sample of 329 voters results in 104 "Yes" responses (i.e. in favor of the candidate). Find the point estimate for the true population proportion of voters who favor the candidate.
Your local school board wants to determine the proportion of people who plan on voting for the school levy in the upcoming election. They conduct a random phone poll, where they contact 150 individuals and ask them whether or not they plan on voting for the levy. Of these 150 respondents, 78 people say they plan on voting for the levy. The school board wants to determine whether or not the data supports the idea that more than 50% of people plan on voting for the levy. Calculate the p-value for the one-sided Hypothesis test described in this example. (Hint: Find the test statistic and then use the tables to find the p-value.) 0.20 < p-value < 0.30 0.6879 0.3121 greater than 0.5 0.4899
Thirty-five percent of all Americans drink bottled water more than once a week (Natural resources Defense Council, December 4, 2015). Suppose you have been hired by the Natural Resources Defence Council to investigate bottled water consumption in St. Paul. You plan to select a sample of St. Paulites to estimate the proportion who drink bottled water more than once a week. Assume the popluation proportion of St. Paulites who drink bottled water more than once a week is 0.35 , the same as the overall proportion of Americans who drink bottled water more than once a week. Suppose you select a sample of 540 St. Paulites. Show the sampling distribution of “p with a line over it” (to 4 decimals). E(p with a line over it) = 0` p with a line over it = Based upon a sample of 540 St. Paulites, what is the probability that the sample proportion will be within 0.08 of the population proportion (to 4 decimals). Probability = Suppose you select a sample of 190 St. Paulites. Show the sampling…
In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin or error- the largest (reasonable) error that the poll could have. For example, a poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% (72% minus 4% to 72% plus 4%). In a made up poll, the proportion of people who like dark chocolate more than milk chocolate was 44% with a margin of error of 1.3%. Describe the conclusion about p using an absolute value inequality.
A coach is interested in how many slam dunks the average college freshman at his university can do. Ten volunteers from the senior class step forward. After observing their performance, the coach concluded that college seniors can do an average of 10 slam dunks in a row without missing. what is the sample? what is the population?
Last year 46% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indicated that 35% plan to provide a holiday gift to their employees. Suppose the survey results are based on a sample of 60 business owners. How many business owners in the survey plan to provide a holiday gift to their employees this year?
A polisher wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 3%
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As part of a statistics project, a teacher brings a bag of marbles containing 800 white marbles and 300 red marbles. She tells the students the bag contains 1100 total marbles, and asks her students to determine how many red marbles are in the bag without counting them. A student randomly draws 100 marbles from the bag. Of the 100 marbles, 32 are red. The data collection method can best be described as Survey Census Controlled study Clinical study The target population consists of The 1100 marbles in the bag The 300 red marbles in the bag The 32 red marbles drawn by the student The 100 marbles drawn by the student None of the above The sample consists of The 300 red marbles in the bag The 32 red marbles drawn by the student The 100 marbles drawn by the student The 1100 marbles in the bag None of the above Based on the sample, the student would estimate that marbles in the bag were red.
A pollster wishes to estimate the proportion of United States voters who favor capital punishment. How large a sample is needed in order to be 90% confident that the sample proportion will not differ from the true proportion by more than 5%?
An article a Florida newspaper reported on the topics that teenagers most want to discuss with their parents. The findings, the results of a poll, showed that 46% would like more discussion about the family's financial situation, 37% would like to talk about school, and 30% would like totalk about religion. These and other percentages were based on a national sampling of 546 teenagers. Estimate the proportion of all teenagers who want more family discussions about the school. Use a 95% confidence level. Express the answer in the form p ± E and round to the nearest thousandth.

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