Download Statistical Analysis Practice Problems for Examination 4 and more Exams Business Statistics in PDF only on Docsity! BMGT 230, Additional Practice Problems for Examination 4 l.ln1994, a Gallup poll found that 160/o of 505 men and 25%o of 496 women surveyed favored a law forbidding the sale of all beer, wine, and liquor in the United States. Test the hypothesis that the proportion of men who favor banning the substances is significantly less than the proportion of women who favor banning the substances at the 0.01 level of significance. a. State the null and alternative hypotheses for this situation. b. What is the calculated value of the associated test statistic? c. What is the critical value of the associated test statistic? d. State your decision regarding the null hypothesis. e. State your conclusion (i.e., interpret your decision). 2. 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 29o , CB.S 28%, NBC 25o/o, and other networks l8%. A sample of 300 homes two weeks after a Saturday evening schedule revision yielded the following viewing audience data: ABC 95 homes, CBS 70 homes, NBC 89 homes, and other networks 46 homes. Determine, at a:0.05, whether the viewing audience proportions changed significantly. a. State the null and alternative hypotheses for this situation. b. What is the calculated value of the associated test statistic? c. What is the critical value of the associated test statistic? d. State your decision regarding the null hypothesis. e. State your conclusion (i.e., interpret your decision). 3. CP Brewery distributes three types of beer: pale ale, amber lager, and hefeweizen. Suds Bacchus, director of marketing for the brewery, wants to determine whether females and males prefer the three types of beer equally. Use the data below to determine whether beer preference is related to the sex of the consumer (c:0.10): Beer Preference Pale Ale Amber Lager Hefeweizen Female 30 30 10 Sex Male 20 a. State the null and alternative hypotheses for this situation. b. What is the calculated value of the associated test statistic? c. What is the critical value of the associated test statistic? d. State your decision regarding the null hypothesis. e. State your conclusion (i.e., interpret your decision). 4. A sport preference poll yielded the following data for Republicans, Democrats, and Independents: Favorite Sport \ Baseball Basketball Football Republican 25 15 30 Political Partv Democratic 15 45 20 Independent 10 20 20 2040
