Students want to study the propotion of people in their university community who have tested positive for COVID at any time. They obtain a random sample of 780 students, faculty and staff, a they asked if they had ever tested positive for COVID. In the sample of 780 members of the university community, 516 had tested positive for COVID at some point. Estimate the overall proportion of the university community that has tested positive for COVID. Use a 99% confidence level. All answers to 4 decimal places please.

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