Question 1133949
x bar is 582/1011=0.576 point estimate
error is z(0.95)*sqrt(p*(1-p)/n)=1.645*sqrt(0.000242)=0.026
the 90%CI is (0.550, 0.602)
One has 99% confidence that the true value of the population mean falls in this interval. A is wrong because it has to do with the parameter, not the statistic.  B uses "chance," not confidence, and is wrong.
C is correct.
D, if that is truly D, is not correct.  99% of the confidence intervals constructed will contain the true population interval, but one doesn't know which 99.