10. Categorical Association: Chi-Square Test for Independence
Chi-Square Test for Independence: Test Statistic and p-value
Is the possession of a Dutch museum card independent of whether a resident lives in Amsterdam or Rotterdam? A simple random sample of #98# residents of the two cities is selected, and the following two-way table is constructed:
| Museum Card | No Museum Card | Total | |
| Amsterdam | 21 | 30 | 51 |
| Rotterdam | 10 | 37 | 47 |
| Total | 31 | 67 | 98 |
A researcher plans on using a Chi-Square Test for Independence to determine whether the possession of a Dutch museum card and place of residence are related to one another.
What are the null and alternative hypotheses of the proposed test?
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