In 1990, researchers investigated the effect of weed-killing herbicides on house pets. They examined 829 cats from homes where herbicides were used regularly, diagnosing malignant lymphoma in 412 of them. Of the 149 cats from homes where no herbicides were used, only 15 were found to have lymphoma. a) What is the standard error of the difference in the two proportions? b) Create a 95% confidence interval for this difference. c) State an appropriate conclusion.
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