| Exam Board | Edexcel |
|---|---|
| Module | S2 (Statistics 2) |
| Year | 2017 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Approximating Binomial to Normal Distribution |
| Type | One-tailed hypothesis test |
| Difficulty | Standard +0.3 This is a standard S2 hypothesis test using normal approximation to binomial with clearly stated parameters. Students must set up H₀: p=0.96 vs H₁: p<0.96, apply continuity correction, calculate z-score, and compare to critical value. While it requires multiple steps (checking np>5, applying continuity correction, standardizing, concluding), these are routine procedures practiced extensively in S2 with no conceptual surprises or novel problem-solving required. |
| Spec | 2.04d Normal approximation to binomial2.05b Hypothesis test for binomial proportion2.05c Significance levels: one-tail and two-tail |
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Please provide the mark scheme content you'd like me to format, and I'll convert the unicode symbols to LaTeX notation, preserve all marking annotations, and format it clearly with one marking point per line.\begin{enumerate}
\item A seed producer claims that $96 \%$ of its bean seeds germinate.
\end{enumerate}
To test the producer's claim, a random sample of 75 bean seeds was planted and 66 of these seeds germinated.
Use a suitable approximation to test, at the $1 \%$ level of significance, whether or not the producer is overstating the probability of its bean seeds germinating. State your hypotheses clearly.\\
\hfill \mbox{\textit{Edexcel S2 2017 Q6 [7]}}