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The National Center for Education would like to estimate the proportion of students who defaulted on their student loans for the state of Arizona. A

The National Center for Education would like to estimate the proportion of students who defaulted on their student loans for the state of Arizona. A pilot sample of 50 students with loans from Arizona found that eight had defaulted on their loans. The total sample size needed to construct a 95% confidence interval for the proportion of student loans in default with a margin of error equal to 4% is ________.

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