A marine biologist claims that 12% of the coral reef sections in a protected lagoon exhibit signs of thermal bleaching. A researcher, suspecting the biologist is understating the severity of the bleaching, examines a random sample of 450 sections and identifies 62 that are bleached.
Using a suitable approximation, test at the 5% significance level whether there is evidence to support the researcher's suspicion. State your hypotheses clearly.
616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.