Find a 90 percent confidence interval for the difference between the proportions of failures in factory 1 and factory 2,where 
1 = .05,
11ec8feb_055f_e61c_bdf7_7733cc20d01e_TB2569_112 = .04,n1 = 500,and n2 = 2000.
Definitions:
Duodenum
The first section of the small intestine, immediately beyond the stomach, which plays a critical role in digestion by receiving bile and pancreatic juices.
Jejunum
The middle section of the small intestine, between the duodenum and ileum, which is responsible for the absorption of nutrients.
Cecum
The first part of the large intestine, into which the ileum opens from one side, and is shaped like a pouch.
Ileum
The third and final portion of the small intestine, where absorption of nutrients and minerals concludes.
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