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.

a. Using the results from the table, give a 95% confidence interval.
b. Using the results from the table, give a 99% confidence interval.

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Null Null p-value p-value Proportion = 0.45 Proportion = 0.53 0.007 0.602 %3D %3D Proportion = 0.46 0.012 Proportion = 0.54 0.124 %3! Proportion = 0.47 0.045 Proportion = 0.55 0.084 Proportion = 0.48 Proportion = 0.56 0.052 0.079 Proportion = 0.49 Proportion = 0.57 0.121 0.034 %3D Proportion = 0.50 Proportion = 0.58 0.254 0.019 Proportion = 0.51 Proportion = 0.59 0.012 0.643 Proportion = 0.52 Proportion = 0.60 0.986 0.004