The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 800 voters in the town and found that 70% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is not equal to 74%. Testing at the 0.02 level, is there enough evidence to support the strategist's claim? a)State the null and alternative hypotheses. b)Find the value of the test statistic. Round your answer to two decimal places. c)Specify if the test is one-tailed or two-tailed. d)Determine the P-value of the test statistic. Round your answer to four decimal places. e)Identify the value of the level of significance. f)Make the decision to reject or fail to reject the null hypothesis. g)State the conclusion of the hypothesis test

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 is on the ballot in a large town​ (voting population over​ 100,000). An exit poll of 400 voters finds that 192 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.52​? Based on your​ result, comment on the dangers of using exit polling to call elections. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.52​?

Among students at a nearby college, the proportion who say they’re interested in their congressional district’s election results has traditionally been 70%. After a series of lackluster debates on campus, a political scientist claims that the proportion, p, of students at the college who say they’re interested in their districts election results is now less than 70%. A pill is commissioned, and 154 out of random sample of 230 students at the college say they’re interested in their districts election results. Is there enough evidence to support the political scientist’s claim at the 0.05 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table.

A study considered the question, “Are you a registered voter?”  Accuracy of response was confirmed by a check of city voting records.  Two methods of survey were used:  a face-to-face interview and a telephone interview.  A random sample of 93 people were asked the voter registration question face-to-face.  Seventy-nine respondents gave accurate answers.  Another random sample of 83 people was asked the same question during a telephone interview.  Seventy-four respondents gave accurate answers.  Assume that the samples are representative of the general population.  Test the claim that there is a difference in the proportion of accurate responses from face-to-face compared with telephone interviews.  Use alpha=.05   What is the null hypothesis? What is the alternative hypothesis? What distribution are you using? What test are you running? What is your conclusion?

A researcher is interested in the effect of the pandemic on social media use among college students. The researcher hypothesizes that college students spend more time on social media thanthey did before the pandemic. To test his hypothesis, he randomly selected 50 college students and asked how many hours do they spend on social media per day before and after the pandemic. a)  What is the research question? b)  What is/are the variable(s)? What graphs can be used to display the variable(s) visually? c)  What statistical test can be used to answer the research question?

In the past, 74% of the tourists who visited Chattanooga went to see Rock City. The management of Rock City recently undertook an extensive promotional campaign. They are interested in determining whether the promotional campaign actually increased the proportion of tourists visiting Rock City. Which of the following is the correct set of hypotheses? Ho: p 0.74 Ha: ps 0.74 O Ho: Ps 0.74 Ha: p > 0.74

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they belleved that supermarket ketchup was as good as the national brand ketchup. a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 645%. He: p- Select your answer Select your answer b. If a sample of 100 shoppers showed 54 stating that the supermarket brand was as good as the national brand, what is the p-value (to 4 decimals)? c. At a=0.05, what is your conclusion? P-valueSelect your answer Ho d. Should the national brand ketchup manufacturer be pleased with this conclusion? Select your answer

Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 627 of 836 registered voters from rural Minnesota voted in the 2016 presidential election, while 414 out of 575 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p1 = the population proportion of voters in rural Minnesota who voted in the 2016 election and p2 = the population proportion of voters in urban Minnesota who voted in the 2016 election.)   (b) What is the proportion of sampled registered voters in rural Minnesota that voted in the 2016 presidential election?   (c) What is the proportion of sampled registered voters in urban…

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 is on the ballot in a large town​ (voting population over​ 100,000). An exit poll of 300 voters finds that 147 voted for the referendum. 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​? Based on your​ result, comment on the dangers of using exit polling to call elections.