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A researcher wishes to study whether an antibiotic will inhibit the growth of bacteria in a...

A researcher wishes to study whether an antibiotic will inhibit the growth of bacteria in a culture. The researcher inserts the antibiotic into 40 cultures and finds that 30 have reduced growth. A control group of 40 cultures is not given the antibiotic, and 10 of these have reduced growth. Find the margin of error for a 99% confidence interval of the difference in proportion of antibiotic and non-antibiotic cultures.

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Solution Given data is Given Antibiotic Not Given Antibiotic Samble size yo ng 40 ma Nord Xi 30 Xa= lo Success Xg Proportion

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