An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against the British Isles, New Zealand, Australia and France gave the following contingency table:   Tries Penalties Drops British Isles 70 31 6 New Zealand 44 38 11 Australia 79 31 7 France 43 32 3 The number of penalities scored against New Zealand and France seems unexpectedly high, and this leads you to want to test the hypothesis that the mode of scoring is dependent on the opponents. At 5% level of  significance, can you carry out a test for association?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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An analysis of the tries, penalty goals and dropped goals scored by South Africa in rugby tests against the British Isles, New Zealand, Australia and France gave the following contingency table:

  Tries Penalties Drops
British Isles 70 31 6
New Zealand 44 38 11
Australia 79 31 7
France 43 32 3

The number of penalities scored against New Zealand and France seems unexpectedly high, and this leads you to want to test the hypothesis that the mode of scoring is dependent on the opponents. At 5% level of  significance, can you carry out a test for association?

 

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