Nielsen obtains ratings of local TV stations in small markets by having households fill out diary questionnaires. These give information on (a) who is watching TV and (b) the program being watched. What are the limitations of this questionnaire method?
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Nielsen obtains ratings of local TV stations in
small markets by having households fill out diary
questionnaires. These give information on (a) who
is watching TV and (b) the program being
watched. What are the limitations of this questionnaire method?
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- Consumer complaints are frequently reported to the Better Business Bureau. Industries with the most complaints to the Better Business Bureau are often banks, cable and satellite television companies, collection agencies, cellular phone providers, and new car dealerships. The results for a sample of 200 complaints are in the file BBB. a. Show the frequency and percent frequency of complaints by industry. b. Which industry had the highest number of complaints? c. Comment on the percentage frequency distribution for complaints.The Port Authority also wants to determine if the gender profile of its customers has changed since last year, when 59.4% of its orders placed were placed by males. The genders for a sample of 49,896 orders placed this year are collected and recorded in the file PortAuthority. a. Formulate hypotheses that can be used to test whether the proportion of orders placed by male customers this year differs from the proportion of orders placed by male customers placed last year. b. Use the data in the file PortAuthority to conduct your hypothesis test. What is the p value for your hypothesis test? At = 0.05, what is your conclusion?The Human Resources Manager for Optilytics LLC is evaluating applications for the position of Senior Data Scientist. The file OptilyticsLLC presents summary data of the applicants for the position. a. Use a PivotTable in Excel to create a joint probability table showing the probabilities associated with a randomly selected applicants sex and highest degree achieved. Use this joint probability table to answer the questions below. b. What are the marginal probabilities? What do they tell you about the probabilities associated with the sex of applicants and highest degree completed by applicants? c. If the applicant is female, what is the probability that the highest degree completed by the applicant is a PhD? d. If the highest degree completed by the applicant is a bachelors degree, what is the probability that the applicant is male? e. What is the probability that a randomly selected applicant will be a male whose highest completed degree is a PhD?
- In a recent report, the top five most-visited English-language web sites were google.com (GOOG), facebook.com (FB), youtube.com (YT), yahoo.com (YAH), and wikipedia.com (WIKI). The most-visited web sites for a sample of 50 Internet users are shown in the following table: a. Are these data categorical or quantitative? b. Provide frequency and percent frequency distributions. c. On the basis of the sample, which web site is most frequently the most-often-visited web site for Internet users? Which is second?A Wall Street Journal subscriber survey asked 46 questions about subscriber characteristicsand interests. State whether each of the following questions provides categorical orquantitative data.a. What is your age?b. Are you male or female?c. When did you first start reading the WSJ? High school, college, early career, midcareer,late career, or retirement?d. How long have you been in your present job or position?e. What type of vehicle are you considering for your next purchase? Nine responsecategories include sedan, sports car, SUV, minivan, and so on.Consider the following survey results regarding smartphone ownership by age: a. Construct a stacked-column chart to display the survey data on type of cell-phone ownership. Use Age Category as the variable on the horizontal axis. b. Construct a clustered column chart to display the survey data. Use Age Category as the variable on the horizontal axis. c. What can you infer about the relationship between age and smartphone ownership from the column charts in parts a and b? Which column chart (stacked or clustered) is best for interpreting this relationship? Why?
- The Port Authority sells a wide variety of cables and adapters for electronic equipment online. Last year the mean value of orders placed with the Port Authority was 47.28, and management wants to assess whether the mean value of orders placed to date this year is the same as last year. The values of a sample of 49,896 orders placed this year are collected and recorded in the tile PortAuthority. a. Formulate hypotheses that can be used to test whether the mean value of orders placed this year differs from the mean value of orders placed last year. b. Use the data in the file PortAuthority to conduct your hypothesis test. What is the p value for your hypothesis test? At = 0.01, what is your conclusion?Agricare Securities Inc. has decided to acquire a new market data and quotation system for its Richmond home office. The system receives current market prices and other information from several on-line data services, then either displays the information on a screen or stores it for later retrieval by the firm's brokers. The system also permits customers to call up current quotes on terminals in the lobby.The equipment costs GHS 1,000,000, and, if it were purchased, Agricare could obtain a term loan for the full purchase price at a 10 percent interest rate. Although the equipment has a six-year useful life, it is classified as a special-purpose computer, so it falls into a straight-line depreciation. If the system were purchased, a 4-year maintenance contract could be obtained at a cost of GHS 20,000 per year, payable at the beginning of each year. The equipment would be sold after 4 years, and the best estimate of its residual value at that time is GHS 200,000. However, since real-time…The Pew Research Center Internet Project conducted a survey of 857 Internet users. This survey provided a variety of statistics on them. The sample survey showed that 90% of respondents said the Internet has been a good thing for them personally. Develop a 95% confidence interval for the proportion of respondents who say the Internet has been a good thing for them personally. The sample survey showed that 67% of Internet users said the Internet has generally strengthened their relationship with family and friends. Develop a 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends. Fifty-six percent of Internet users have seen an online group come together to help a person or community solve a problem, whereas only 25% have left an online group because of unpleasant interaction. Develop a 95% confidence interval for the proportion of Internet users who say online groups have helped solve a problem. Compare the margin of error for the interval estimates in parts (a), (b), and (c). How is the margin of error related to the sample proportion?
- As was discussed in the Analytics in Action from Chapter 2, the U.S. Census Bureau is a leading source of quantitative data related to the people and economy of the United States. The crosstabulation below represents the number of households (1,000s) and the household income by the highest level of education for the head of household (U.S. Census Bureau web site, 2013). Use this crosstabulation to answer the following questions. a. Develop a joint probability table. b. What is the probability the head of one of these households has a masters degree or higher education? c. What is the probability a household is headed by someone with a high school diploma earning 100,000 or more? d. What is the probability one of these households has an income below 25,000? e. What is the probability a household is headed by someone with a bachelors degree earning less than 25,000? f. Are household income and educational level independent?Forty-three percent of Americans use social media and other websites to voice their opinionsabout television programs (the Huffington Post, November 23, 2011). Below are the resultsof a survey of 1364 individuals who were asked if they use social media and other websites tovoice their opinions about Television programsUses Social Media and Other Websitesto Voice Opinions About TelevisionProgramsDoesn’t Use Social Mediaand Other Websites to VoiceOpinions About TelevisionProgramsFemale 395 291Male 323 355b. What is the probability a respondent is female?Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern United States. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow: a. Develop an estimated regression equation with the amount of television advertising as the independent variable. Test for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this relationship? b. How much of the variation in the sample values of weekly gross revenue does the model in part (a) explain? c. Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. Test whether each of the regression parameters 0, 1, and 2 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? d. How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain? e. Given the results in parts (a) and (c), what should your next step be? Explain. f. What are the managerial implications of these results?