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 hypothesized values, we obtain the resulting p-values. 

a. Using the results from the table, give a 90% confidence interval. 

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

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Null Proportion = 0.45 Proportion = 0.46 Proportion = 0.47 Proportion = 0.48 Proportion = 0.49 Proportion = 0.50 Proportion = 0.51 Proportion 0.52 p-value 0.014 0.032 0.062 0.126 0.371 0.598 0.733 0.986 Null Proportion = 0.53 Proportion = 0.54 Proportion = 0.55 Proportion = 0.56 Proportion = 0.57 Proportion = 0.58 Proportion = 0.59 Proportion = 0.60 p-value 0.787 0.572 0.373 0.142 0.077 0.042 0.021 0.003