In an experiment on the side-effects of pain relievers, a large group of arthritis sufferers were randomly assigned to take one of several over-the-counter pain medications. Out of 440 patients assigned to use A-Keez, 31 suffered adverse symptoms. (a) Does this result indicate that fewer than 10% of arthritis sufferers using A-Keez experience adverse symptoms? Support your answer with an appropriate hypothesis test using a Pvalue approach at a 5% level of significance. (b) Calculate a 99% confidence interval for the proportion of arthritis sufferers who will experience adverse symptoms from using A-Keez.