Exam-Style Question on Significance
A mathematics exam-style question with a worked solution that can be revealed gradually
Question id: 436. This question is similar to one that appeared on an IB AI Standard paper (specimen) for 2021. The use of a calculator is allowed.
Ucayali, a multinational technology company that focuses on e-commerce, has a distribution centre in Camelot. As part of a study into healthy lifestyles, the number of cups of coffee drunk by 420 staff members each day were recorded. Results are shown in the table.
Cups of coffee per day
|none||1 or 2||3 or 4||5 or more|
The company conducted a \(\chi^2\) test for independence at a \(5\%\) level of significance.
(a) State the null hypothesis.
(b) Calculate the p-value for this test.
(c) State, giving a reason, whether the null hypothesis should be accepted.
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If you are using a TI-nSpire CX calculator and you would like to see an example of the process used in this question see GDC Essentials.
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