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 95% confidence interval. 

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

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 0.007 0.012 0.045 0.079 0.121 0.254 0.643 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 0.602 0.124 0.084 0.052 0.034 0.019 0.012 0.004