An epidemiologist with the Florida Department of Health needs to estimate the proportion of Floridians who are infected with the corona virus but are asymptomatic (show no signs of the virus). The epidemiologist compiled a preliminary random sample of infected patients and found that 65% of the sample were also asymptomatic. How large a sample should be selected such that the margin of error of the estimate for a 96% confidence interval is at most 1.93%. Round the solution up to the nearest whole number.

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