In a sample survey, 138 students failed the exam out of 200 total students.  1. Calculate the 95% confidence interval for the population prportion of students who failed the exam.  2. Compare the margin of errors at 90%, 95%, and 99% confidence intervals. What happens when the confidence interval increases?

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In a sample survey, 138 students failed the exam out of 200 total students. 

1. Calculate the 95% confidence interval for the population prportion of students who failed the exam. 

2. Compare the margin of errors at 90%, 95%, and 99% confidence intervals. What happens when the confidence interval increases?

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