HW III - Homework Assignment III The questions in this part...

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Homework Assignment III The questions in this part are based on Chapters 11. Please read through my notes and relevant sections of the book to answer the questions. Good luck! Directions : Identify the correct alternative for the following questions. You can put a cross or a tick mark on the chosen alternative. Questions 1-4 are based on the following study : A study conducted in 2007 analyzed whether people belonging to different ethnic groups differed with respect to their political beliefs. We are only given the following incomplete contingency table. Political Party Identification Ethnic Group Democrat Independent Republican Total White 516 123 1249 Black 623 576 Hispanic 75 460 Total 295 1364 1. Complete the above table. ( There are 7 blanks to fill up). 2. What will be the conditional distribution of party identification for Hispanics? a) (38.33%, 46.28%, 45%) b) (45%, 16.3%, 38.7%) c) (6.9%, 2.49%, 5.92%) d) (45%, 16.3%, 25%). 3. The following incomplete table shows the population conditional percentage values for a few cells. Complete the table in such a way that ethnicity is independent of political affiliation. Political Party Identification Ethnic Group Democrat Independent Republican Total White 100% Black 40% 100% Hispanic 49% 100% Extra Credit Question 4. Based on Q.1, what would have been the conditional distribution of party identification for Hispanics if ethnicity was independent of political affiliation? (Hint : Think about expected counts of the cells). a) (44.79%, 9.82%, 40%) b) (45%, 16.3%, 38.7%) c) (6.9%, 2.49%, 5.92%) d) (44.79%, 9.82%, 45.39%). Questions 5-9 are based on the following study : The following table refers to a study recently carried out by the Florida Transportation Bureau about the effect of wearing seat belts on the seriousness of injury in automobile accidents. 1
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Type of Injury Seat Belt Serious Minor No 3925 18,674 Yes 2150 20,750 Extra Credit Question 5. Find the numerical value and the degrees of freedom of the Chi square test statistic for testing the hypotheses of independence between degree of injury and seat-belt usage. a) χ 2 = 625 . 98; df = 2 b) χ 2 = 25 . 65; df = 2 c) χ 2 = 625 . 98; df = 1 c) χ 2 = 67 . 58; df = 4 . 6. Based on the p-value of the above chi-square statistic, what should be your conclusion? a) Seat-belt usage and seriousness of injury are independent at α = 0 . 01 , α = 0 . 05 and α = 0 . 1 . b) Seat-belt usage and seriousness of injury are dependent at α = 0 . 1 but not at α = 0 . 05 and α = 0 . 01 . c) Seat-belt usage and seriousness of injury are dependent at α = 0 . 05 and α = 0 . 1 but not at α = 0 . 01 . d) Seat-belt usage and seriousness of injury are dependent at H 0 at α = 0 . 01 , α = 0 . 05 and α = 0 . 1 . 7. Suppose Mr. X is just learning Statistics and does not know anything about Chi-square test. Worse still, he gets
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HW III - Homework Assignment III The questions in this part...

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