Construct a 95% confidence interval for a population proportion using repeated tests of significance to develop an interval of plausible values based on a sample proportion of 0.52 from a sample of 600. Use two-sided tests with the following values under the null hypothesis to find the needed corresponding p-values to construct the interval.

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Null p-value Null p-value Proportion = 0.45 Proportion = 0.53 Proportion = 0.46 Proportion = 0.54 Proportion = 0.47 Proportion = 0.55 Proportion = 0.48 Proportion = 0.56 Proportion = 0.49 Proportion = 0.57 Proportion = 0.50 Proportion = 0.58 Proportion = 0.51 Proportion = 0.59 Proportion = 0.52 Proportion = 0.60