an alternate method of constructing a confidence interval is available. To implement this method, first, include an additional 4 observations in the sample, 2 of which are successes and 2 of which are failures. Second, calculate a new sample proportion pˆnew for the new sample. Finally, construct a confidence interval using pˆnew , with the formula pˆnew±1.96pˆnew(1−pˆnew)n+4−−−−−−−− −√ . (i) For the cell phone batteries, consider a sample of 5 in which 1 battery fails to last through 500 charges. Using the alternate method described, what is the value of pˆnew ? Show your work. The following table shows the results of the original simulation with revised 95 percent confidence intervals constructed with the alternate method.