2.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{585de4b0-906e-40c4-9045-966d68505eff-04_430_438_260_753}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
The pointer shown in Figure 1 is spun so that it comes to rest between 0 and 360 degrees.
Linda claims that it is equally likely to come to rest at any point between 0 and 360 degrees. She spins the pointer 100 times and her results are summarised in the table below. She calculates expected frequencies for some of the possible outcomes and these are also given in the table below.
| Angle (degrees) | \(0 - 45\) | \(45 - 90\) | \(90 - 180\) | \(180 - 315\) | \(315 - 360\) |
| Frequency | 18 | 16 | 18 | 29 | 19 |
| Expected frequency | 12.5 | \(a\) | \(b\) | \(c\) | 12.5 |
- Find the values of the missing expected frequencies \(a , b\) and \(c\).
- Stating your hypotheses clearly and using a \(5 \%\) level of significance, test whether or not Linda's claim is supported by these data.