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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 8

A manufacturer claims that the probability that one of its sensors passes a calibration check is 0.70. An engineer believes that the probability is greater than 0.70. The engineer will test n n\,n independently selected sensors and will reject the null hypothesis only if every sensor passes.

a.

State suitable hypotheses.

[2]
b.

Find the least value of n n\,n for which this test has a significance level below 1%.

[3]
c.

The least possible value of n n\,n is used and every sensor passes. Complete the 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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