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2.5 Statistical Hypothesis Testing

2.5 Statistical Hypothesis Testing

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Question 34
27%

A company produces pens. The probability that any pen is defective is 0.08.

a.

A sample of 15 pens is taken. Find the probability that 2 or more pens are defective.

[2]
b.

An employee claims that the probability that a pen is defective is more than 0.08. They take a sample of 20 pens and 3 are defective. Stating your hypothesis clearly, test the employee's claim at the 5% significance level.

[5]
Markscheme

2.5 Statistical Hypothesis Testing Questions

  1. A Level
  2. /Maths
  3. /2.5 Statistical Hypothesis Testing

316 exam-style questions on OCR A Level Maths 2.5 Statistical Hypothesis Testing, covering 2.5.1 The language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, 2.5.3 Inference and significance level, 2.5.4 Sample mean as a random variable (A-level only), 2.5.5 Hypothesis test for the mean of a normal distribution (A-level only), 2.5.6 Pearson's product-moment correlation coefficient, and 2.5.7 Hypothesis test using Pearson's coefficient (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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