A study of 420,020 cell phone users found that 0.0314​% of them developed cancer of the brain or nervous system. Prior to this study of cell phone​ use, the rate of such cancer was found to be 0.0326​% for those not using cell phones. Complete parts​ (a) and​ (b).

a. Use the sample data to construct a ​90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.