In an article in Accounting and Business Research, Beattie and Jones investigate the use and abuse of graphic presentations in the annual reports of United Kingdom firms. The authors found that 65 percent of the sampled companies graph at least one key financial variable, but that 30 percent of the graphics are materially distorted (nonzero vertical axis, exaggerated trend, or the like). Results for U.S. firms have been found to be similar.
(a) Suppose that in a random sample of 470 graphics from the annual reports of United Kingdom firms, 94 of the graphics are found to be distorted. Find a point estimate of and a 95 percent confidence interval for the proportion of U.K. annual report graphics that are distorted. (Round your answers to 4 decimal places.)