CAIE Further Paper 4 2022 June — Question 2

Exam BoardCAIE
ModuleFurther Paper 4 (Further Paper 4)
Year2022
SessionJune
TopicChi-squared distribution

2 A scientist is investigating the size of shells at various beach locations. She selects four beach locations and takes a random sample of shells from each of these beaches. She classifies each shell as large or small. Her results are summarised in the following table.
\multirow{2}{*}{}Beach location
A\(B\)CDTotal
\multirow{2}{*}{Size of shell}Large68699681314
Small28556439186
Total96124160120500
Test, at the 10\% significance level, whether the size of shell is independent of the beach location.