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1 markPaper 1 · Multiple choiceChi-Square Test

CAPE Applied Mathematics Unit 1 · 2017 · Paper 1 · Question Q39

The grades given by 3 teachers at a school are displayed in a 3 \times 5 contingency table. A \chi^2 test, at the 5\% level of significance, is carried out to test the hypothesis that there is no association between the grades given and the teachers. The \chi^2 test value is calculated. The critical region of this test will be

  1. (A)\chi^2\text{ calc} < 2.733
  2. (B)\chi^2\text{ calc} > 2.733
  3. (C)\chi^2\text{ calc} > 15.51
  4. (D)\chi^2\text{ calc} < 15.51

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