| Exam Board | Edexcel |
|---|---|
| Module | S2 (Statistics 2) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modelling and Hypothesis Testing |
| Type | Statistical modeling theory |
| Difficulty | Moderate -0.8 This question tests basic understanding of hypothesis testing concepts. Part (a) is pure recall of a definition, and part (b) is a straightforward comparison of a probability (4.2%) with a significance level (5%), requiring minimal reasoning. Both parts are routine bookwork with no problem-solving or calculation required. |
| Spec | 5.05a Sample mean distribution: central limit theorem |
| Answer | Marks | Guidance |
|---|---|---|
| (a) The values of \(X\) which will cause the null hypothesis to be rejected | B2 | |
| (b) If \(H_0\) is correct, then \(P(A) = 4.2\%\). This is less than \(5\%\), so if it does happen, \(H_0\) should be rejected | B1, B1 | 4 marks total |
(a) The values of $X$ which will cause the null hypothesis to be rejected | B2 |
(b) If $H_0$ is correct, then $P(A) = 4.2\%$. This is less than $5\%$, so if it does happen, $H_0$ should be rejected | B1, B1 | 4 marks total |\begin{enumerate}[label=(\alph*)]
\item Explain what is meant by the critical region of a statistical test. [2 marks]
\item Under a hypothesis $H_0$, an event $A$ can happen with probability $4 \cdot 2\%$. The event $A$ does then happen. State, with justification, whether $H_0$ should be accepted or rejected at the $5\%$ significance level. [2 marks]
\end{enumerate}
\hfill \mbox{\textit{Edexcel S2 Q2 [4]}}