You have been employed as a marketing executive by the Coca-Cola company to evaluate their progress in the century-long "cola war" with Pepsi. Historical data suggests that Coke has been preferred to Pepsi by 60% of high school children. To gather some up to date data on preferences, you have carried out a survey of a simple random sample of 125 high school children and asked them whether they prefer Coke or Pepsi. Of these, 58 replied that they prefer Coke and the remainder said they prefer Pepsi. 1. Carry out a hypothesis test for whether the preference for Coke over Pepsi among high school children exceeds the historical level. Use the 5% level of significance and a p value decision rule. 2. Compute a 95% confidence interval for the proportion of high school children who prefer Coke. Is there a relationship between this confidence interval and the finding of the

You have been employed as a marketing executive by the Coca-Cola company to evaluate their progress in the century-long "cola war" with Pepsi. Historical data suggests that Coke has been preferred to Pepsi by 60% of high school children. To gather some up to date data on preferences, you have carried out a survey of a simple random sample of 125 high school children and asked them whether they prefer Coke or Pepsi. Of these, 58 replied that they prefer Coke and the remainder said they prefer Pepsi. 1. Carry out a hypothesis test for whether the preference for Coke over Pepsi among high school children exceeds the historical level. Use the 5% level of significance and a p value decision rule. 2. Compute a 95% confidence interval for the proportion of high school children who prefer Coke. Is there a relationship between this confidence interval and the finding of the

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

In a survey of working parents (both parents working), one of the questions asked was "Have you refused a job, promotion, or transfer because it would mean less time with your family?" Two hundred men and 200 women were asked this question. Twenty-nine percent of the men and 24% of the women responded "yes." a. Based on this survey, can we conclude that there is a difference in the proportion of man and women responding “yes" at the 0.05 level of significance? (i) State the null and alternative hypotheses (ii) What test statistics would you use and why? (iii) Compute the value of the test-statistic. (iv) What rejection region would you use? (v) State your conclusion in the context of the problem. b. What P-value is associated with this test? Based on this P-value, could H. be rejected at significance level 0.08? c. Find a 95% confidence interval for the difference between the proportion of men and women responding "yes." Based on this confidence interval, would your conclusion be the…
The Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004. Of particular interest were the percentages of female faculty in the College of Education and in the College of Business . In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females. Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ? a. (0.075, 0.405). b. (0.123, 0.357). c. (-0.012, 0.252). d. (0.058, 0.422). e. (0.101, 0.379).
By a small margin, Facebook remains the top choice of social media over all ages, with 29% using Facebook most often among those using social media sites. However, more visually oriented social networks such as Snapchat and Instagram continue to draw in younger audiences. When asked "Which one social networking brand do you use most often?" the results in the table show the top brands chosen by Americans aged 12-34 who currently use any social networking site or service. Social M edia Site Faceboo k Snapchat Instagra m Twitter Percentage That Use Most Often 29 28 26 6 20 (a) What is the sum of the percentages for these top social media sites? Give your answer as an exact number. Macmillan Learning top social media sites: What percent of Americans aged 12-34 use other social media sites most often? Give your answer as an exact number. other social media sites: do %
I need help figuring this out.
A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons
A 2009 Pew Research Center survey asked a sample of 1,504 adults living in the United States for their opinions on recent technological advancements, such as online shopping, cell phones, and social networking. Respondents categorized each advancement as a change for the worse, hasn't made much difference, a change for the better, or don't know. A summary of respondents' opinions on the Internet follows: Response Change for the worse Hasn't made much difference Change for the better. Don't know Percent of Respondents 16 11 65 8 Make a bar graph of the relative frequency distribution of the responses.
Government economic studies reveal that young adults, not middle-aged or older adults, are having the most difficult time in today’s economy. Although the nation’s labor market shows a decline in the unemployment rate, the percentage of young adults, ages 18 to 24, currently employed (54 percent) is at the lowest level since the government data collection began in 1948. If you were working for a national survey organization doing a general public survey of young adults and older adults, what topics and questions would you design into your survey to elaborate on this finding?
Polling 2004. In the 2004 U.S. presidential election,the official results showed that George W. Bush received50.7% of the vote and John Kerry received 48.3%. RalphNader, running as a third-party candidate, picked uponly 0.4%. After the election, there was much discussionabout exit polls, which had initially indicated a differentresult. Suppose you had taken a random sample of 1000voters in an exit poll and asked them for whom they hadvoted.a) Would you always get 507 votes for Bush and 483 forKerry? b) In 95% of such polls, your sample proportion of vot-ers for Bush should be between what two values? c) In 95% of such polls, your sample proportion of vot-ers for Nader should be between what two numbers? d) Would you expect the sample proportion of Nadervotes to vary more, less, or about the same as thesample proportion of Bush votes? Why?
A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were: Subject Drug A Drug B 1 6 5 2 3 1 3 4 4 7 6 2 7 4 2 Can you conclude that the mean pain level is less with drug B? Use a=0.05. (1) Critical Value (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
Suppose you try to conduct a presidential approval poll of 10,000 likely U.S. voters. You know that 44% of the voters are registered with the Independent party, 28% are registered with the Reform party and 23% are registered with the Green party. If you are going to construct a representative sample of this population, approximately how many of the likely voters in the sample should be Green party?
You're trying to find out how many students who graduate with accounting degrees from large universities are employed at graduation. You design an experiment where you collect information on several variables from recent graduates from the University of Florida accounting program. Specifically, you survey 198 alumni about their employment status, age at graduation, gender, and grade point average. What's the population, and what's the sample? The population is everyone at the University of Florida, and the sample is the 198 alumni who returned the survey. The population is the 198 alumni who returned the survey, and the sample is accounting alumni from large universities. The population is college students at large universities, and the sample is accounting students. The population is accounting program alumni at large universities, and the sample is the 198 alumni who returned the survey. Researchers are interested in increasing female participation in the technology…
A psychologist conducted a survey of the attitude towards the sustainability of American energy consumption with 250250 randomly selected individuals several years ago. The psychologist believes that these attitudes have changed over time. To test this he randomly selects 250250 individuals and asks them the same questions. Can the psychologist confirm his theory that the attitudes have changed from the first survey to the second survey? Attitude 1st Survey 2nd Survey Optimistic 50%50% 52%52% Slightly Optimistic 16%16% 10%10% Slightly Pessimistic 11%11% 15%15% Pessimistic 23%23% 23%23% Copy Data Step 6 of 10 : Find the value of the test statistic. Round your answer to three decimal places. Step 7 of 10: Find the degrees of freedom associated with the test statistic for this problem Step 8 of 10: Find the critical value of the test at the 0.025 level of significance. Round your answer to three decimal places.step 9 of 10: make the decision to reject or fail to reject…