Moderate -0.3 This is a straightforward one-tailed binomial hypothesis test with clearly stated parameters. Students must identify H₀: p=0.25, H₁: p>0.25, calculate P(X≥10) under H₀, and compare to 5%. While it requires proper hypothesis test structure and binomial probability calculation, it's a standard textbook exercise with no conceptual surprises, making it slightly easier than average.
Brad planted 25 seeds in his greenhouse. He has read in a gardening book that the probability of one of these seeds germinating is 0.25. Ten of Brad's seeds germinated. He claimed that the gardening book had underestimated this probability. Test, at the 5% level of significance, Brad's claim. State your hypotheses clearly. [7]
Brad planted 25 seeds in his greenhouse. He has read in a gardening book that the probability of one of these seeds germinating is 0.25. Ten of Brad's seeds germinated. He claimed that the gardening book had underestimated this probability. Test, at the 5% level of significance, Brad's claim. State your hypotheses clearly. [7]
\hfill \mbox{\textit{Edexcel S2 2004 Q3 [7]}}