Question

In: Statistics and Probability

A political campaign manager, Scott, wants his mayoral candidate, Greg, to win an upcoming mayoral election....

A political campaign manager, Scott, wants his mayoral candidate, Greg, to win an

upcoming mayoral election. He assumes that the population proportion is 60% in favor of his

candidate, Greg and is normally distributed. Scott needs to know what the smallest sample size is

that he should poll to be 95% sure that the sample proportion is within 6% of the population

proportion.

Expert Solution

Solution :

Given that,

= 0.60

1 - = 1 - 0.60 = 0.40

margin of error = E = 6% = 0.06

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.96 / 0.06)2 * 0.60 * 0.40

= 256.106

Sample size =257

orchestra answered 2 years ago

4. Sarah’s political campaign wants to assess how she will do in the upcoming election. They...

4. Sarah’s political campaign wants to assess how she will do in the upcoming election. They take a simple random sample of likely voters and ask them who they intend to vote for. The proportion of respondents who say they intend to vote for Sarah is .51 and the margin of error for a 95% confidence interval is .02. Use this information to answer the following questions. a. Based on this sample, what is the campaign’s best guess about the...

A campaign manager for a political candidate released a series of advertisements criticizing their opponent in...

A campaign manager for a political candidate released a series of advertisements criticizing their opponent in an upcoming election. Their opponent previously had the support of 45% of voters, and the campaign manager wants to sample voters to test if support for their opponent has decreased. The manager surveyed 200 voters and the survey shows 40% support. Use .03 level of significance

Which political party deserves to win the upcoming British Columbia provincial election on October 24th? Why?

A candidate for political office wants to determine if there is a difference in his popularity...

A candidate for political office wants to determine if there is a difference in his popularity between men and women. To test the claim of this difference, he conducts a survey of voters. The sample contains 250 men and 250 women, of which 110 of the men and 130 of the women favor his candidacy. Do these values indicate a difference in popularity? Use a 0.01 significance level.

A political candidate wants to estimate her chances of winning the coming election for mayor. Out...

A political candidate wants to estimate her chances of winning the coming election for mayor. Out of a random sample of 500 voters, 240 voters stated they supported the candidate. Find the 95% confidence interval for , the true proportion of supporters. p (a) (.42, .54) (b) (.44, .52) (c) (.46, .40) (d) (.47, .49) (e) (.38, .58)

A political candidate is anxious about the outcome of the election. Complete parts (a) and (b)...

A political candidate is anxious about the outcome of the election. Complete parts (a) and (b) below. a) To have his next survey result produce a 95% confidence interval with a margin of error of no more than 0.034 how many eligible voters are needed in the sample? (b) If the candidate fears that he's way behind and needs to save money, how many voters are needed if he expects that his percentage among voters p is near 0.25?

18. A global sportswear company is contemplating contributing money to political candidate in the next election....

18. A global sportswear company is contemplating contributing money to political candidate in the next election. The managers of the company do not want to contribute unless they are sure the candidate will get the majority of the population vote and win the election. Otherwise,the company will not contribute to the candidates' campaign. ?? : p≤0.5(The company will not contribute the political candidates campaign.) ??0: p>0.5(The company will contribute to the political candidates a campaign.) ?? a) Write a description...

The campaign manager for a politician who is running for reelection to a political office is...

The campaign manager for a politician who is running for reelection to a political office is planning the campaign. Four ways to advertise have been selected: TV ads, radio ads, billboards, and social media advertising buys. The costs of these are $900 for each TV ad, $500 for each radio ad, $600 for a billboard for 1 month, and $180 for each buy on social media (approximately 40,000 unique impressions). The audience reached by each type of advertising has been...

Consider an election where there are two political parties (Republicans vs Democrats). During the campaign, each...

Consider an election where there are two political parties (Republicans vs Democrats). During the campaign, each party will choose a policy position which is represented as a point along a line (from zero to one). Each voter has a preferred policy and voters will vote for the candidate whose policy is closest to their own position. The voter’s preferences are distributed uniformly along this policy line. The party that gets majority of the votes wins the election. Each party prefers...

The Federal Election Commission (FEC) collects information about campaign contributions and disbursements for candidates and political...

The Federal Election Commission (FEC) collects information about campaign contributions and disbursements for candidates and political committees each election cycle. A political action committee (PAC) is a committee formed to raise money for candidates and campaigns. A Leadership PAC is a PAC formed by a federal politician (senator or representative) to raise money to help other candidates’ campaigns. The FEC has reported financial information for 556 Leadership PACs that were operating during the 2011-2012 election cycle. A random selection of...