Interpret chi-squared test results

A question is this type if and only if it asks for interpretation or comment on chi-squared test results in context, including which cells contribute most.

2 questions · Moderate -0.2

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AQA S2 2011 June Q3
10 marks Standard +0.3
  1. State the null hypothesis that Emily used.
  2. Find the value of the test statistic, \(X ^ { 2 }\), giving your answer to one decimal place.
  3. State, in context, the conclusion that Emily should reach based on the results of her \(\chi ^ { 2 }\) test.
  4. Make one comment on the GCSE performances of 16-year-old students attending Bailey Language School.
  5. Emily's friend, Joanna, used the same data to correctly conduct a \(\chi ^ { 2 }\) test using the \(10 \%\) level of significance. State, with justification, the conclusion that Joanna should reach.
AQA Further AS Paper 2 Statistics 2020 June Q7
6 marks Moderate -0.8
7 A restaurant has asked Sylvia to conduct a \(\chi ^ { 2 }\) test for association between meal ordered and age of customer. 7
  1. State the hypotheses that Sylvia should use for her test. 7
  2. Sylvia correctly calculates her value of the test statistic to be 44.1
    She uses a \(5 \%\) level of significance and the degrees of freedom for the test is 30
    Sylvia accepts the null hypothesis.
    Explain whether or not Sylvia was correct to accept the null hypothesis.
    7
  3. State in context the correct conclusion to Sylvia's test.