In 2001​, researchers investigated the effect of​ weed-killing herbicides on house pets. They examined 840 cats from homes where herbicides were used​ regularly, diagnosing malignant lymphoma in 445 of them. Of the 116 cats from homes where no herbicides were​ used, only 20 were found to have lymphoma.   ​a) What is the standard error of the difference in the two proportions?   -Let p1 be the sample proportion of cats with lymphoma from homes where herbicides were used regularly and p2 be the sample proportion of cats with lymphoma from homes where no herbicides were used.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 6E
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In 2001​, researchers investigated the effect of​ weed-killing herbicides on house pets. They examined 840 cats from homes where herbicides were used​ regularly, diagnosing malignant lymphoma in 445 of them. Of the 116 cats from homes where no herbicides were​ used, only 20 were found to have lymphoma.
 
​a) What is the standard error of the difference in the two proportions?
 
-Let p1 be the sample proportion of cats with lymphoma from homes where herbicides were used regularly and p2 be the sample proportion of cats with lymphoma from homes where no herbicides were used.
 
The standard error of the difference in the two proportions
​SE(p1−p2​)=____. ​(Round to four decimal places as​ needed.)
b) Create a 99​% confidence interval for this difference.
​c) State an appropriate conclusion.
 
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