Chap015 - C HAPTER 15 N ONPARAMETRIC M ETHODS : C HI-S...

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Unformatted text preview: C HAPTER 15 N ONPARAMETRIC M ETHODS : C HI-S QUARE A PPLICATIONS 1. a. 3 b. 7.815 2. a. 5 b. 15.086 3. a. Reject H o if 2 > 5.991 b. 2 2 2 2 (10 20) (20 20) (30 20) 10.0 20 20 20 --- = + + = c. Reject H o . The proportions are not equal. 4. a. Reject H o if 2 > 7.815 b. 2 2 2 2 2 (10 20) (20 20) (30 20) (20 20) 10.0 20 20 20 20 ---- = + + + = c. Reject H o . The categories are not equal. 5. H o : The outcomes are the same H 1 : The outcomes are not the same Reject H o if 2 > 9.236 2 2 2 (3 5) (7 5) ... 7.60 5 5 -- = + + = Do not reject H o . Cannot reject H o that outcomes are the same. 6. H o : Rounds played is the same for each day H 1 : Rounds played is not the same Reject H o if 2 > 9.488 2 2 2 (124 104) (120 104) ... 15.308 104 104 -- = + + = Reject H o . The number of rounds played is not the same for each day. 7. H o : There is no difference in the proportions H 1 : There is a difference in the proportions Reject H o if 2 > 15.086 2 2 2 (47 40) (34 40) ... 3.400 40 40 -- = + + = Do not reject H o . There is no difference in the proportions. 8. H o : The proportions are the same H 1 : The proportions are not the same Reject H o if 2 > 18.475 2 2 2 2 (6 10) (19 10) (6 10) ... 24.60 10 10 10 --- = + + + = Reject H o . The accidents are not evenly distributed throughout the day. Chapter 15 157 9. a. Reject H o if 2 > 9.210 b. 2 2 2 2 (30 24) (20 24) (10 12) 2.50 24 24 12 --- = + + = c. Do not reject H o 10. H o : The proportions are as stated H 1 : The proportions are not as stated Reject H o if 2 > 7.824 2 2 2 2 (60 50) (30 25) (10 25) 12.00 50 25 25 --- = + + = Reject H o . Proportions are not as stated. 11. H o : The proportions are as stated H 1 : The proportions are not as stated Reject H o if 2 > 11.345 2 2 2 2 2 (50 25) (100 75) (190 125) (160 275) 115.22 25 75 125 275 ---- = + + + = Reject H o . Proportions are not as stated. 12. H o : The proportions are as stated H 1 : The proportions are not as stated Reject H o if 2 > 7.815 2 2 2 2 2 (165 150) (140 150) (125 150) (70 50) 14.333 150 150 150 50 ---- = + + + = Reject H o . Proportion of viewers is not as stated 13. H o : There is no relationship between size and section read H 1 : There is a relationship Reject H o if 2 > 9.488 2 2 2 (170 157.50) (88 83.62) ... 7.340 157.50 83.62 -- = + + = Do not reject...
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Chap015 - C HAPTER 15 N ONPARAMETRIC M ETHODS : C HI-S...

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