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 98% confidence interval of the difference in proportion of antibiotic and non-antibiotic cultures. O 2.33 (.75)(.25) (.25) (.75) 40 40 O 2.33 ( .5 ) ( .5 ) ( 40 + 40 ) O 2.0551 302 104 + 40 40 2.0551 (.75)(.25) (.25)(.75) + 40 40