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2 marksChi-Square Test

CAPE Applied Mathematics Unit 1 · 2009 (second paper) · Paper 2 · Question 6(a)(iii)a)

A study observes the behaviour of 400 children during the first few months of primary school based on whether they were sent to a day nursery (Group 1, n=210) or kept at home (Group 2, n=190). A χ² test at the 5% level is conducted.

Determine the number of degrees of freedom for this hypothesis test.

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Other parts of this question

  1. 6(a)(i)State appropriate null and alternative hypotheses.[2 marks]
  2. 6(a)(ii)On the answer sheet provided, complete the table where O denotes the observed frequency, E denotes the expected frequency and N denotes the total frequency,…[11 marks]
  3. 6(a)(iii)b)Determine the critical region for this hypothesis test.[2 marks]
  4. 6(a)(iv)Clearly state the conclusion that may be drawn from this test.[3 marks]
  5. 6(b)It is found that the regression line of y on x passes through the point (0, 2). If the means of the x and y values are 6 and 8 respectively, find the equation…[5 marks]

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