Moderate -0.3 This is a straightforward one-tailed binomial hypothesis test with clear parameters (n=12, claimed p=0.6, significance level 5%). Students need to set up H₀: p=0.6 vs H₁: p<0.6, calculate P(X≤4) using binomial tables or formula, and compare to 0.05. It's slightly easier than average because it's a standard textbook procedure with small n (tables readily available) and no complications, though it does require proper hypothesis test structure.
3 An electronics company is developing a new sound system. The company claims that \(60 \%\) of potential buyers think that the system would be good value for money. In a random sample of 12 potential buyers, 4 thought that it would be good value for money. Test, at the 5\% significance level, whether the proportion claimed by the company is too high.
3 An electronics company is developing a new sound system. The company claims that $60 \%$ of potential buyers think that the system would be good value for money. In a random sample of 12 potential buyers, 4 thought that it would be good value for money. Test, at the 5\% significance level, whether the proportion claimed by the company is too high.
\hfill \mbox{\textit{OCR S2 2009 Q3 [7]}}