Quelpr
2 marksChi-Square Test

CAPE Applied Mathematics Unit 2 · 2010 · Paper 2 · Question 4(b)(i)

A table shows the distribution of the number of employees working overtime and their home distance from the workplace in kilometres.

State clearly the null and alternative hypotheses for a chi-square test to determine whether the number of employees who work overtime is independent of the distance of their home from the workplace.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)(i)Determine the standard deviation of the length of wood cut.[6 marks]
  2. 4(a)(ii)Determine the proportion of the pieces that are longer than 3.2 metres.[5 marks]
  3. 4(b)(ii)Find the expected frequencies if the null hypothesis is true.[3 marks]
  4. 4(b)(iii)Using a 5% significance level, determine whether the number of employees who work overtime is independent of the distance of their home from the workplace.…[9 marks]

More practice: the rest of this paper · more Chi-Square Test questions · all CAPE Applied Mathematics Unit 2 past papers