Edexcel S3 2014 June — Question 5

Exam BoardEdexcel
ModuleS3 (Statistics 3)
Year2014
SessionJune
TopicChi-squared distribution

  1. A random sample of 200 people were asked which hot drink they preferred from tea, coffee and hot chocolate. The results are given below.
\cline { 3 - 6 } \multicolumn{2}{|c|}{}
\multirow{2}{*}{Total}
\cline { 3 - 5 } \multicolumn{2}{|c|}{}TeaCoffeeHot Chocolate
\multirow{2}{*}{Gender}Males57261194
\cline { 2 - 6 }Females424717106
Total997328200
  1. Test, at the \(5 \%\) significance level, whether or not there is an association between type of drink preferred and gender. State your hypotheses and show your working clearly. You should state your expected frequencies to 2 decimal places.
  2. State what difference using a \(0.5 \%\) significance level would make to your conclusion. Give a reason for your answer.