OCR Further Statistics 2018 March — Question 6

Exam BoardOCR
ModuleFurther Statistics (Further Statistics)
Year2018
SessionMarch
TopicChi-squared distribution

6 The captain of a sports team analyses the team's results according to the weather conditions, classified as "sunny" and "not sunny". The frequencies are shown in the following table.
\cline { 3 - 5 } \multicolumn{2}{c|}{}Results
\cline { 3 - 5 } \multicolumn{2}{c|}{}WinDrawLose
\multirow{2}{*}{Weather}Sunny1235
\cline { 2 - 5 }Not sunny81210
  1. Test at the \(5 \%\) significance level whether the team's performances are associated with weather conditions.
  2. (a) Identify the cell that gives the largest contribution to the test statistic.
    (b) Interpret your answer to part (ii)(a).