Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM. The number of votes cast for the Republican in the poll is x=407. The sample size is n=765. Can the television networks announce a Republican winner? Compute the p-value for a test of the null that population proportion 'p' (representing the election result) of Republican voters is (less or) equal to 0.5 and alternative hypothesis p>0.5 (Use 4 decimal points)

Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM. The number of votes cast for the Republican in the poll is x=407. The sample size is n=765. Can the television networks announce a Republican winner? Compute the p-value for a test of the null that population proportion 'p' (representing the election result) of Republican voters is (less or) equal to 0.5 and alternative hypothesis p>0.5 (Use 4 decimal points)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

An airline claims that luggage is rarely lost (does not arrive at the destination at the same time as the passenger). The airline claims that if luggage is lost, in 87% of cases the airline is able to recover and deliver the luggage within 24 hours. A consumer watchdog group found a random sample of 125 people whose luggage was lost and found that 99 of them had their luggage recovered and returned within 24 hours. The Sample proportion p-hat is 99/125 = 0.792. The watchdog group wants to perform a hypothesis test against the claim that the airline is able to recover 87% of lost luggage in 24 hours. What is the test statistic?
Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
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?
Suppose you recruit the next 100 people who visit the DCC cafeteria to participate in a survey. One of the questions you ask is whether the student eats on campus (i.e., in the cafeteria) regularly, and you want to use the sample proportion to estimate the value of the (population) proportion of all DCC students who eat on campus regularly. Do you think this sampling method is likely to be biased? If so, in which direction? This sampling method is not likely to be biased and will produce a representative sample of DCC students. This sampling method is biased and is likely to yield an overestimate for the population proportion. This sampling method is biased and is likely to yield an underestimate for the population proportion.
Suppose that 75% of adults agree that, while downloading music from the Internet and then selling it is piracy and should be prohibited, downloading for personal use is an innocent act and should not be prohibited. We'll take a random sample of 30 adults and ask if they agree with the statement. Then the sampling distribution of the sample proportion of people who answer yes to the question is:
A principal at a large elementary school (grades 1 - 5) is considering making changes to the bus schedule. She selects a random sample of 100 students from each grade and contacts the students’ families regarding the bus schedule. What sampling technique is used in this example?
One cable company advertises that it has excellent customer service. In fact, the company advertises that a technician will be there within 30 minutes of when a service call is placed. One frustrated customer believes this is not the truth, claiming that it takes over 30 minutes for the cable repairman to arrive. The customer asks 15 of his neighbors how long it has taken for the cable repairman to arrive when they have called for him. The sample mean for this group is 32.2 minutes with a sample standard deviation of 3.6 minutes. Test the customer’s claim at the 0.02 level of significance. (a) State the null and alternative hypotheses (b) Find the value of your test statistic. Draw a picture and label its location on the normal curve. Also shade the area where you will find the p-value. (c) Calculate the p-value from the sample data. Compare it to the significance level. Label it’s value and location on your bell curve (d) Write a full…
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow. 9 2 5 4 6 6 2 7 6 10 8 8 9 7 9 9 9 9 10 9 10 10 10 9 9 10 6 8 10 5 7 10 9 5 9 6 9 860 4 3 6 2 7 10 7 9 9 9 Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places. 9
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 205 Fundash runners and 260 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 205 Fundash runners complete the course with a mean time of 77.6 minutes and a standard deviation of 8.2 minutes. The 260 individuals complete Coolsprint with a mean time of 76.0 minutes and a standard deviation of 7.7 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, u,, of Fundash is greater than…
An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…
Suppose that 67% of voters in a state oppose concealed carry handguns. Repeated random samples of 400 voters were collected. Use the Empirical Rule to find the interval in which the sample proportion of opponents should fall 95% of the time. Select one: A. (64.6%,69.4%)(64.6%,69.4%) B. (63.8%,70.2%)(63.8%,70.2%) C. (60.7%,73.3%)(60.7%,73.3%) D. (61.5%,72.5%)(61.5%,72.5%) E. None of the above
An adventure company runs two obstacle courses, Fundash and Coolsprint, with similar designs. Since Fundash was built on rougher terrain, the designer of the courses suspects that the mean completion time of Fundash is greater than the mean completion time of Coolsprint. To test this, she selects 230 Fundash runners and 210 Coolsprint runners. (Consider these as independent random samples of the Fundash and Coolspring runners.) The 230 Fundash runners complete the course with a mean time of 77.9 minutes and a standard deviation of 6.6 minutes. The 210 individuals complete Coolsprint with a mean time of 76.6 minutes and a standard deviation of 7.3 minutes. Assume that the population standard deviations of the completion times can be estimated to be the sample standard deviations, since the samples that are used to compute them are quite large. At the 0.05 level of significance, is there enough evidence to support the claim that the mean completion time, U1, of Fundash is greater than…