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Exam-Style Question on SignificanceA mathematics exam-style question with a worked solution that can be revealed gradually |
Question id: 89. This question is similar to one that appeared on an IB Studies paper in 2014. The use of a calculator is allowed.
A group of students were asked how they get to school each day. The results are shown in the following table
| Walk | Bicycle | Car | Bus | Total | |
| Male | 22 | 36 | 35 | 56 | 149 |
| Female | 32 | 46 | 45 | 50 | 173 |
| Total | 54 | 82 | 80 | 106 | 322 |
A \(\chi^2\) test was preformed to see if there was a connection between gender and the method of travelling to school.
(a) Write down what the null hypothesis, Ho, might have been for this test.
(b) Find the expected frequency for the females who cycle to school.
(c) Find the \(\chi^2\) statistic.
(d) State whether or not the null hypothesis is accepted at a 5% significance level. Give a reason for your answer.
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