A pharmaceutical company claims that their new drug is effective in treating a certain disease. They conducted a clinical trial with 200 patients, 100 receiving the drug and 100 receiving a placebo. The recovery rate for the drug group was 80%, while the recovery rate for the placebo group was 60%. Using appropriate statistical methods, determine whether the drug has a significant effect on recovery rates at a significance level of 0.05. Interpret your results in the context of the study and potential limitations.

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