Probing for Precision An example of this section used the photo-cop survey data with n 5 829 and 5 0.51 to construct the 95% confidence interval of 0.476 , p , 0.544.

However, cannot be exactly 0.51 because 51% of 829 people is 422.79 people, which is not possible. The sample statistic of 51% has been rounded to the nearest whole number. Find the minimum and maximum values of x for which x 829 is rounded to 0.51, then construct the confidence intervals corresponding to those two values of x. Do the results differ substantially from the confidence interval of 0.476 , p , 0.544 that was found using 0.51?