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In 1996 ​, researchers investigated the effect of​ weed-killing herbicides on house pets. They examined 828...

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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