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4.6 Statistical hypothesis testing (A-level only)

4.6 Statistical hypothesis testing (A-level only)

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Question 41

A conservation group claims that 35% of households in a district take part in a food-waste collection scheme. A councillor believes that the claim may be incorrect. A random sample of 60 households is taken, and X X\,X denotes the number that take part.

a.

State the null and alternative hypotheses.

[2]
b.

Find the critical region for a two-tailed test at the 5% level of significance, using a probability of less than 0.025 in each tail.

[3]
c.

Find the actual significance level of the test.

[1]
d.

In the sample, 30 households take part. Complete the hypothesis test.

[2]
Markscheme

4.6 Statistical hypothesis testing (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.6 Statistical hypothesis testing (A-level only)

209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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