Edexcel S2 2008 January — Question 5

Exam BoardEdexcel
ModuleS2 (Statistics 2)
Year2008
SessionJanuary
TopicHypothesis test of binomial distributions
TypePerform one-tailed hypothesis test

  1. Dhriti grows tomatoes. Over a period of time, she has found that there is a probability 0.3 of a ripe tomato having a diameter greater than 4 cm . She decides to try a new fertiliser. In a random sample of 40 ripe tomatoes, 18 have a diameter greater than 4 cm . Dhriti claims that the new fertiliser has increased the probability of a ripe tomato being greater than 4 cm in diameter.
Test Dhriti's claim at the 5\% level of significance. State your hypotheses clearly.