A botanist claims that 35% of a rare wildflower species in a particular region have white petals. A local conservationist believes that the actual proportion of white-petalled flowers is significantly greater than this. In a random survey of 120 flowers of this species, 55 are found to have white petals.
Use a suitable approximation to test, at the 1% level of significance, whether there is evidence to support the conservationist's belief. 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.