PROBLEM 1 During the first 13 weeks of the television season, the Saturday evening 8:00 PM to 9:00 PM audience proportions were recorded as ABC 29%, CBS 28%, NBC 25%, and Independents 18%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and Independents 46 homes. Test with a=0.05 to determine whether the viewing audience proportions changed. What is the critical value? (Round to three decimals)
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There are four different groups, a sample of 300 homes two weeks after a Saturday night schedule revision yielded.
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- In politics, marketing, etc. we often want to estimate a percentage or proportion p. One calculation in statistical polling is the margin of error - the largest (reasonble) 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 2.2%. Describe the conclusion about p using an absolute value inequality. The answer field below uses the symbolic entry option in Mobius. That lets you type in a vertical bar | to represent absolute values. Also, when you type in and then =, the symbolic entry option will automatically convert that to >.Activity 1 Directions: Answer the following question. Use Microsoft Excel if necessary. 1. An insurance company would like to determine the proportion of all medical doctors who have been involved in one or more malpractice lawsuits. The company selects 500 doctors at random from a professional directory and determines the number in the sample who have been involved in a malpractice lawsuit. Identify the following: a. Population b. Sample c. Variable d. Level of Measurement used 2. Determine the correct data type (quantitative or qualitative). Indicate whether quantitative data are continuous or discrete the following: a. the number of pairs of shoes you own b. the type of car you drive c. the distance from your home to the nearest grocery store 3. The Whitcomb Company manufactures a metal ring for industrial engines that usually weig about 50 ounces. A random sample of 50 of these metal rings produced the following weights (in ounces). 51 53 56 50 44 47 53 53 42 57 46 55 41 44 52 56…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 %
- Last rating period, the percentages of viewers watching several channels between 11 p.m. and 11:30 p.m. in a major TV market were as follows: WDUX(News) WWTY(News) WACO(Cheers Reruns) WTJW(News) Others 18% 20% 25% 20% 17% Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies: WDUX(News) WWTY(News) WACO(Cheers Reruns) WTJW(News) Others 263 442 560 309 426 Click here for the Excel Data File (a) Show that it is appropriate to carry out a chi-square test using these data. (b) Determine whether the viewing shares in the current rating period differ from those in the last rating period at the .10 level of significance. (Round your answer to 3 decimal places.)A real estate agency, located in a metropolitan area in the northeastern U.S., kept data on the various types of properties purchased in the area. Historically, 15% of purchases were for condominiums, 30% were for townhouses, 40% for single family homes, 10% for commercial properties and 5% for land. With changing demographics, the agency wondered if the current distribution matches the historical distribution. Recent data showed the following: Type of Property Condos Townhouses Homes Commercial Land Frequency 89 121 78 25 12 Based on the historical distribution, we would expect how many homes to be purchased? Question content area bottom Part 1 A. 130 B. 121 C. 129.95 D. 122.54 E. 100Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below: bar graph pie chart either a pie chart or a bar graph neither a pie chart nor a bar graph
- Last rating period, the percentages of viewers watching several channels between 11 p.m. and 11:30 p.m. in a major TV market were as follows: WDUX(News) WWTY(News) WACO(Cheers Reruns) WTJW(News) Others 15% 19% 22% 16% 28% Suppose that in the current rating period, a survey of 2,000 viewers gives the following frequencies: WDUX(News) WWTY(News) WACO(Cheers Reruns) WTJW(News) Others 182 536 354 151 777 Click here for the Excel Data File (a) Show that it is appropriate to carry out a chi-square test using these data. (b) Determine whether the viewing shares in the current rating period differ from those in the last rating period at the .10 level of significance. (Round your answer to 3 decimal places.)The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Shore Ship Overall Food/Dining Excursions Seabourn Odyssey 94.4 90.9 97.8 Seabourn Pride 93.0 84.2 96.7 National Geographic Endeavor 92.9 100.0 88.5 Seabourn Sojourn 91.3 94.8 97.1 Paul Gauguin 90.5 87.9 91.2 Seabourn Legend 90.3 82.1 98.8 Seabourn Spirit 90.2 86.3 92.0 Silver Explorer 89.9 92.6 88.9 Silver Spirit 89.4 85.9 90.8 Seven Seas Navigator 89.2 83.3 90.5 Silver Whisperer 89.2 82.0 88.6 National Geographic…During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 30%, CBS 27%, NBC 26%, and independents 17%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 94 homes, CBS 71 homes, NBC 88 homes, and independents 47 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. O Ho: The proportions are not PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17. Ha: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 O Ho: PABC = 0.30, PCBS = 0.27, PNBC = 0.26, PIND = 0.17 Ha: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND * 0.17 O Ho: PABC # 0.30, PCBS # 0.27, PNBC # 0.26, PIND = 0.26, PIND Ha: PABC 0.30, PCBS = 0.27, PNBC = # 0.17 = = 0.17 = 0.26, PIND O Ho: PABC = 0.30, PCBS = 0.27, PNBC 0.30, PCBS = Ha: : The proportions are not PABC Find the value of the test statistic. (Round your…
- During the first 13 weeks of the television season, the Saturday evening 8 p.m. to 9 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. Ho: PABC + 0.31, PCBS H = 0.31, PCBS a: PABC O Ho: The proportions are not PABC H₂: PABC = 0.31, PCBS O Ho: PABC 0.31, PCBS + 0.26, PNBC = 0.26, PNBC + 0.27, PIND = 0.27, PIND Need Help? Read It = 0.31, PCBS = 0.26, PNBC 0.27, PIND = 0.16. = 0.16 = 0.27, PIND = 0.27, PIND = 0.16 = 0.26, PNBC = 0.26, PNBC H: The proportions are not PABC Ho: PABC = 0.31, PCBS = 0.26, PNBC + 0.31, PCBS = 0.27, PIND = 0.16 + 0.26, PNBC * 0.27, PIND * 0.16 Ha: PABC Find the value of the test statistic. (Round your answer to…During the first 13 weeks of the television season, the Saturday evening 8:00 P.M. to 9:00 P.M. audience proportions were recorded as ABC 29%, CBS 27%, NBC 25%, and Independents 19%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 62 homes, NBC 84 homes, and Independents 59 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. Find the test statistic and p-value. (Round your test statistic to two decimal places. Use Table 3 of Appendix B.) Test statistic = p-value is - Select your answer - Conclusion: There is - Select your answer v change in the viewing audience proportions. - Select your answer - no significant a significantYou may need to use the appropriate technology to answer this question. During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were recorded as ABC 31%, CBS 26%, NBC 27%, and independents 16%. A sample of 300 homes two weeks after a Saturday night schedule revision yielded the following viewing audience data: ABC 97 homes, CBS 68 homes, NBC 91 homes, and independents 44 homes. Test with a = 0.05 to determine whether the viewing audience proportions changed. State the null and alternative hypotheses. 0.31, PCBS = 0.26, PNBC = 0.27, PIND 0.27, PIND = 0.16. Ho: : The proportions are not pPABC Наi РАВС 3 0.31, РсвS 0.26, PNBC 0.16 0.27, 0.16 Но: РАВС 0.31, Рсвs 3D 0.26, Наi РАВС + 0.31, РсвS PNBC + 0.26, PNBC ± 0.27, , PIND + 0.16 Ho: PABC + 0.31, PCBS + 0.26, PNBC + 0.27, PIND + 0.16 0.26, PNBC 0.27, PIND = 0.16 %D На РАВС - 0.31, РсBs 0.26, PNBC 0.27, PIND 0.16 Нo: РАВС - 0.31, РсBS H: The proportions are not PABC 0.16. 0.31,…