Question: Yes, we could conduct a hypothesis test for comparing two independent proportions while keeping the existing categories as they are. However, this approach may not
Yes, we could conduct a hypothesis test for comparing two independent proportions while keeping the existing categories as they are. However, this approach may not fully answer the research question since it would ignore the potential effect of the moderate hours category. A Chi-Square test of independence would be more comprehensive as it considers the relationship across all categories of child care hours and attachment patterns. To fully investigate the association with the given data, a Chi-Square test would be preferred because it considers all levels of child care hours and attachment patterns simultaneously. If we are specifically interested in comparing low vs. high hours of child care regardless of the moderate hours, then a two-proportion z-test can be carried out after converting the counts to proportions. However, one should be cautious and note that this approach provides a more limited view of the data
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