| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Year | 2006 |
| Session | January |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chi-squared test of independence |
| Type | Standard 2×2 contingency table |
| Difficulty | Moderate -0.3 This is a straightforward chi-squared test of independence with a 2×2 contingency table. Students need to state hypotheses, calculate expected frequencies, compute the test statistic, and compare to critical value—all standard S3 procedures with no conceptual complications or unusual features. |
| Spec | 5.06a Chi-squared: contingency tables |
| Gender | Accepted | Rejected |
| Male | 170 | 110 |
| Female | 280 | 140 |
4. People over the age of 65 are offered an annual flu injection. A health official took a random sample from a list of patients who were over 65 . She recorded their gender and whether or not the offer of an annual flu injection was accepted or rejected. The results are summarised below.
\begin{center}
\begin{tabular}{ | l | c | c | }
\hline
Gender & Accepted & Rejected \\
\hline
Male & 170 & 110 \\
\hline
Female & 280 & 140 \\
\hline
\end{tabular}
\end{center}
Using a $5 \%$ significance level, test whether or not there is an association between gender and acceptance or rejection of an annual flu injection. State your hypotheses clearly.\\
\hfill \mbox{\textit{Edexcel S3 2006 Q4 [9]}}