Lesson_9_Workbook_Student_Version_F12-_with_SPACE

Expert find that 42 drivers were

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Unformatted text preview: generic equivalent” box checked. Of the 52 patients in the 4 ­60 age group, 28 submitted a prescription form specifying “ generic equivalent,” and for the 54 patients in the 61 ­or ­over age group, 32 submitted a prescription form specifying “generic equivalent.” At the 0.025 level, is age group independent of name ­ brand/generic specification? Based on the chi ­square table, what is the most accurate statement that can be made about the p ­value for the test? Brand Generic <40 28 ( ) 16 ( ) 44 40 ­60 24 ( ) 28 ( ) 52 >60 22 ( ) 32 ( ) 54 74 76 150 6 PROBLEM # 9.16 ­ Customers of the Sky Mountain Grocery chain are routinely asked at the checkout whether they prefer paper or plastic bags for their purchases. In a recent study, researchers observed the type of bag specified and surveyed the customer for other information, including his or her level of education. For the 175 persons in the sample, bag selection and education levels were shown below. At the 0.01 level, is bag selection independent of education level? Based on the chi ­square table, what is the most accurate statement that can be made about the p ­value for the test? Bag Paper Selection Plastic No Preference 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 A B Chi-Square Test for Independence: Observed Freqs.: HS Paper 14 Plastic 17 No Pref 8 39 Expected Freqs.: HS Paper 14.04 Plastic 12.93 No Pref 12.03 39.00 Education Level Some College College Grad 13 34 19 19 28 13 60 66 High School 14 17 8 39 C D Some C C or Grad 13 36 19 22 28 18 60 76 E F Graduate Study 2 3 5 63 58 54 175 G 63 58 54 175 Some C C or Grad 21.60 27.36 63.00 19.89 25.19 58.00 18.51 23.45 54.00 60.00 76.00 175.00 no. rows no. cols. d.f. calc. chi-square p-value 3 3 4 15.360 0.004 7 PROBLEM # 9.17 ­For the following data obtained from three independent samples, use the 0.05 level in testing H0: p1= p2= p3 versus H1 : “ At least one population proportion different from the others.” n1 = 100 n2 = 120 n3 = 200 p1 = 0.20 p2 = 0.25 p3 = 0.18 PROBLEM # 9.18 ­ An investment firm survey included the finding that 52% of 150 clients describing themselves as “very aggressive” investors said they were optimistic about the near ­term future stock market, compared to 46% of 100 describing themselves as “moderate” and 38% of 100 describing themselves as “conservative.” Use the 0.01 level in testing whether the three population proportions could be the same. 8 Understanding the Basics: Suggested Problems from the Book. 14.1 Chi ­Square Goodness of Fit Tests: 14.4,14.7,14.8,14.12,14.14,14.15 14.2 A Chi ­Square for Independence: 14.18,14.18,14.20 End of Chapter: 14.28,14.29,14.34 This statistical workbook is compiled from the following books: • • • Keller, G. (2012). Statistics for management and economics. Mason: Cengage Learning. Weiers, R. M. (2011). Introduction to Business Statistics. Mason: Cengage Learning. Gonick, L. W. (2005). The Cartoon Guide to Statistics (Vol. 1). HarperCollins. 9...
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This note was uploaded on 09/30/2013 for the course COMM 215 taught by Professor Ghatri during the Fall '08 term at Concordia Canada.

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