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2 marksChi-Square Test

CAPE Applied Mathematics Unit 1 · 2012 · Paper 2 · Question 6(a)(iii)

A random sample of students were asked views on disciplinary action taken against an athlete. A chi-square test at the 5% significance level tests whether student sex affects opinion.

Determine the critical region for the test.

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Other parts of this question

  1. 6(a)(i)State appropriate null and alternative hypotheses for this test.[2 marks]
  2. 6(a)(ii)Determine the number of degrees of freedom for the test.[2 marks]
  3. 6(a)(iv)Copy and complete the table showing the expected frequencies for EACH cell.[3 marks]
  4. 6(a)(v)The calculated χ² test value is 9.534. Clearly state the conclusion that can be drawn from this test.[3 marks]
  5. 6(b)(i)On the graph sheet provided, plot these values as a scatter diagram.[3 marks]
  6. 6(b)(ii)a)Interpret the value 0.8 in the regression equation as it relates to the rainfall at the two stations.[2 marks]
  7. 6(b)(ii)b)Calculate the mean rainfall for Station A and for Station B.[3 marks]
  8. 6(b)(ii)c)Draw the regression line y = 0.8x + 0.38 on the same graph as the scatter diagram.[3 marks]
  9. 6(b)(ii)d)Use the regression line to estimate the rainfall at Station B when the rainfall at Station A is 4.5 cm.[2 marks]

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