| Exam Board | Edexcel |
|---|---|
| Module | S3 (Statistics 3) |
| Marks | 11 |
| Paper | Download PDF ↗ |
| Topic | Chi-squared goodness of fit |
| Type | Chi-squared test of independence |
| Difficulty | Standard +0.3 This is a standard chi-squared test of independence with a 2×3 contingency table. Students must calculate expected frequencies, compute the test statistic, find critical value, and interpret. While it requires multiple steps and careful calculation, it follows a completely routine procedure taught explicitly in S3 with no novel problem-solving or conceptual insight needed. Slightly easier than average due to its formulaic nature. |
| Spec | 5.06a Chi-squared: contingency tables |
| Facility | Male | Female |
| Pool | 40 | 68 |
| Jacuzzi | 26 | 33 |
| Gym | 52 | 31 |
The manager of a leisure centre collected data on the usage of the facilities in the centre by its members. A random sample from her records is summarised below.
\begin{center}
\begin{tabular}{|c|c|c|}
\hline
Facility & Male & Female \\
\hline
Pool & 40 & 68 \\
Jacuzzi & 26 & 33 \\
Gym & 52 & 31 \\
\hline
\end{tabular}
\end{center}
Making your method clear, test whether or not there is any evidence of an association between gender and use of the club facilities. State your hypotheses clearly and use a 5\% level of significance. [11]
\hfill \mbox{\textit{Edexcel S3 Q5 [11]}}