Does the clarity of a diamond depend on its cut? Exercise 3.4 showed data, reproduced below, on

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Does the clarity of a diamond depend on its cut? Exercise 3.4 showed data, reproduced below, on the clarity (rated as internally flawless, IF, very very slightly included, VVS, very slightly included, VS, slightly included, SI and included, I) for the two lowest ratings for cut, which are €œgood€ and €œfair.€

Clarity Vvs Vs SI I Total Cut IF 4 55 3 Good Fair 16 80 30 2 3 3 8 44


a. Verify, using software, that X2 = 0.267 for this table. The (raw) data are available on the book€™s website as Diamonds.csv.
b. Can you use the chi-squared distribution to find a P-value? Why or why not?
c. Of 10,000 random permutations, 9,908 resulted in an X2 value as large or larger than the one observed. Find the (approximate) permutation P-value and interpret.

Distribution
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Statistics The Art And Science Of Learning From Data

ISBN: 9780321997838

4th Edition

Authors: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

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