CAIE FP2 2019 June — Question 8

Exam BoardCAIE
ModuleFP2 (Further Pure Mathematics 2)
Year2019
SessionJune
TopicChi-squared distribution
8 Two salesmen, \(A\) and \(B\), work at a company that arranges different types of holidays: self-catering, hotel and cruise. The table shows, for a random sample of 150 holidays, the number of each type arranged by each salesman.
Type of holiday
\cline { 3 - 5 } \multicolumn{2}{|c|}{}Self-cateringHotelCruise
\multirow{2}{*}{Salesman}\(A\)253821
\cline { 2 - 5 }\(B\)282117
Test at the 10\% significance level whether the type of holiday arranged is independent of the salesman.
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Q1 Q2 Q3 3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 4 Q11 EITHER Q11 OR