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In 1990​, researchers investigated the effect of​ weed-killing herbicides on house pets. They examined 829 cats...

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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