5 A researcher is investigating births of females and males in a particular species of animal which very often produces litters of 7 offspring.
The table shows some data about the number of females per litter in 200 litters of 7 offspring. The researcher thinks that a binomial distribution \(\mathrm { B } ( 7 , p )\) may be an appropriate model for these data.
(c) Complete the test at the \(5 \%\) significance level.
Fig. 5 shows the probability distribution \(\mathrm { B } ( 7,0.35 )\) together with the relative frequencies of the observed data (the numbers of litters each divided by 200).
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{fd496303-10f1-450e-bbeb-421ab6f4de21-5_659_1285_342_319}
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\caption{Fig. 5}
\end{figure}
(d) Comment on the result of the test completed in part (c) by considering Fig. 5.