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 90% confidence interval.
b. Using the results from the table, give a 95% confidence interval.

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