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3 marksChi-Square Test

CAPE Applied Mathematics Unit 1 · 2017 · Paper 2 · Question 6(b)(iv)

A survey of 100 persons records opinions by gender on whether children are given too much money. A chi-square test at the 5% level is used to test independence of gender and opinion.

The calculated chi-square value of the test is 9.8249. State clearly the conclusion for this test, giving a reason for your answer.

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Other parts of this question

  1. 6(a)(i)State clearly the null and alternate hypotheses.[3 marks]
  2. 6(a)(ii)Identify the critical region(s) of the test statistic.[4 marks]
  3. 6(a)(iii)Calculate the value of the test statistic.[4 marks]
  4. 6(a)(iv)State clearly a valid conclusion of the test, giving a reason for your answer.[3 marks]
  5. 6(b)(i)State clearly the null and alternative hypotheses.[2 marks]
  6. 6(b)(ii)Calculate, to the nearest whole number, the expected number of males that have no opinion.[3 marks]
  7. 6(b)(iii)Identify the rejection region of the test.[3 marks]

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