In 1996 , researchers investigated the effect of weed-killing herbicides on house pets. They examined 828 dogs from homes where herbicides were used regularly, diagnosing malignant lymphoma in 406 of them. Of the 118 dogs from homes where no herbicides were used, only 16 were found to have lymphoma. a) What is the standard error of the difference in the two proportions? b) Create a 99 % confidence interval for this difference. c) State an appropriate conclusion.
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