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2 marksChi-Square Test

CAPE Applied Mathematics Unit 1 · 2021 · Paper 2 · Question 6(a)(v)

Contingency table investigation of leadership style (Strict vs Moderate) and worker satisfaction levels (Low, Acceptable, High) for 140 firm leaders.

State clearly the conclusion that may be drawn from this test.

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Other parts of this question

  1. 6(a)(i)Formulate the null and alternative hypotheses for the chi-square test.[2 marks]
  2. 6(a)(ii)Complete the table to show the missing expected frequencies and marginal totals.[4 marks]
  3. 6(a)(iii)Calculate the chi-square test statistic value.[3 marks]
  4. 6(a)(iv)Determine the critical region of the test at the 5% level of significance.[3 marks]
  5. 6(b)A random sample of 384 provided a 95% confidence interval for a population proportion, p, with a margin of error of 0.05. Approximate the value of p based on…[4 marks]
  6. 6(c)(i)Calculate the sample mean and sample variance for these observations.[3 marks]
  7. 6(c)(ii)Determine the critical region for a test of H0: mu = 14.0 against H1: mu != 14.0 at the 5% significance level.[4 marks]

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