A lightbulb manufacturer claims that only 2%2\%2% of its LED bulbs are defective. To investigate this claim, a quality control manager selects a random sample of 150150150 bulbs and finds that 888 are defective.
Use a suitable approximation to test, at the 5%5\%5% level of significance, whether the manufacturer is understating the proportion of defective bulbs. State your hypotheses clearly.
67 exam-style questions on OCR (MEI) A Level Maths 2.4.13 Model with probability distributions. Each one has a worked solution and a mark scheme showing where the marks go.