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 #78# residents of the two cities is selected, and the following two-way table is constructed:
| Museum Card | No Museum Card | Total | |
| Amsterdam | 8 | 30 | 38 |
| Rotterdam | 15 | 25 | 40 |
| Total | 23 | 55 | 78 |
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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