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Exam-Style Question on SignificanceA 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 | |
| Office Staff | 55 | 74 | 82 | 20 |
| Warehouse Staff | 21 | 33 | 49 | 21 |
| Transport Staff | 4 | 21 | 23 | 17 |
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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