Suppose we are constructing a confidence interval using repeated tests of significance to develop an interval of plausible values. Using two-sided tests each time with the following null hypotheses, we obtain the resulting p-values.

Null p-value Null p-value
Proportion = 0.45 0.007 Proportion = 0.53 0.602
Proportion = 0.46 0.012 Proportion = 0.54 0.124
Proportion = 0.47 0.045 Proportion = 0.55 0.084
Proportion = 0.48 0.079 Proportion = 0.56 0.052
Proportion = 0.49 0.121 Proportion = 0.57 0.034
Proportion = 0.50 0.254 Proportion = 0.58 0.019
Proportion = 0.51 0.643 Proportion = 0.59 0.012
Proportion = 0.52 0.986 Proportion = 0.60 0.004

Using the results from the table, give a 95% AND 99% Confidence interval.