QBA 2305 Homework Assignment (Chapter 8) 2008 for Students

# QBA 2305 Homework Assignment (Chapter 8) 2008 for Students...

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QBA 2305: Homework Assignment (Chapter 8) Name (please print): Last First Honor Pledge : “ On my honor, this is my personal work and I have neither copied answers from any other student nor solicited any kind of assistance from any person other than the Instructor ”. Signature: Student ID Number: Instructions : Select the correct answer and write the appropriate letter in the space provided by ______, which appears in front of each question number. Good luck! 1 . A sample of 100 undergraduate students is classified by academic major (5 groups) and political party (Republican, Democratic, and Independent). How many degrees of freedom are there in the test? (A) 99 (B) 4 (C) 2 (D) 6 (E) 8 (F) None of the above 2 . The sum of the observed and the sum of the expected frequencies are . (A) always at least 30 (B) always the same (C) always equal to zero (D) all of the above Use the following information to answer questions 3 thru 7. Dr. LOHAKA: QBA 2305 Homework Assignment (Chi-Square Tests) Page 1

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A brand manager is concerned that her brand’s share may be unevenly distributed throughout the country. In a survey in which the country was divided into four geographic regions, a random sample of 100 consumers in each region was surveyed, with the following results: Region NE NW SE SW Total Purchase the brand 40 55 45 50 190 Do not purchase 60 45 55 50 210 Total 100 100 100 100 400 At α = 0.05, test whether brand share is the same across the four regions. 3 . The correct table of expected frequencies is which one among the following? ( A ) Region NE NW SE SW Purchase the brand 47.5 47.5 47.5 47.5 Do not purchase 52.5 52.5 52.5 52.5 ( B ) Region NE NW SE SW Purchase the brand 50 50 50 50 Do not purchase 50 50 50 50 ( C ) Region NE NW SE SW Purchase the brand 40 55 45 50 Do not purchase 60 45 55 50 ( D ) None of these. Dr. LOHAKA: QBA 2305 Homework Assignment (Chi-Square Tests) Page 2
4 . How many degrees of freedom are there? (A) 7 (B) 1 (C) 2 (D) 3 (E) None of these 5 . The null and alternative hypotheses for this test are . (A) H 0 : π 1 - π 2 - π 3 - π 4 = 0.25 H a : π 1 - π 2 - π 3 - π 4 0.25 (B) H 0 : π 1 - π 2 - π 3 - π 4 = 0.50 H a : π 1 - π 2 - π 3 - π 4 0.50 (C) H 0 : π 1 - π 2 - π 3 - π 4 = 0 H a : π 1 - π 2 - π 3 - π 4 0 (D) H 0 : π 1 = π 2 = π 3 = π 4 = 0.50 H a : The proportions are not as stated in the null hypothesis. (E) H 0 : π 1 = π 2 = π 3 = π 4 = 0.25 H a : Not all the proportions are equal. (F) All of the above 6 . The computed value of the chi-square statistic test is closest to . (A) 0.11 (B) 6.00 (C) 5.01 (D) 0.17 (E) None of the above ______7 . Specifically, what does this indicate to the brand manager? (A) The brand’s share doesn’t differ significantly by region. (B) Region is related to purchasing.

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QBA 2305 Homework Assignment (Chapter 8) 2008 for Students...

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