Perform chi-squared test with Yates'

A question is this type if and only if it requires carrying out a complete chi-squared test using Yates' correction on a 2×2 contingency table, including calculating the test statistic, comparing to critical value, and reaching a conclusion.

1 questions · Standard +0.3

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OCR S3 2011 January Q7
11 marks Standard +0.3
7
  1. When should Yates' correction be applied when carrying out a \(\chi ^ { 2 }\) test? Two vaccines against typhoid fever, \(A\) and \(B\), were tested on a total of 700 people in Nepal during a particular year. The vaccines were allocated randomly and whether or not typhoid had developed was noted during the following year. The results are shown in the table.
    \multirow{2}{*}{}Vaccines
    \cline { 2 - 3 }\(A\)\(B\)
    Developed typhoid194
    Did not develop typhoid310367
  2. Carry out a suitable \(\chi ^ { 2 }\) test at the \(1 \%\) significance level to determine whether the outcome depends on the vaccine used. Comment on the result.