In random sample of 500 people aged 20-24, 22% were smokers. In random sample of 450 people aged 25-29, 14% were smokers. Test the claim that the proportion of smokers in the two age groups is the same. Employ a significance level of 0.01. (You can employ either the p-value or the traditional method of hypothesis testing. Suppose that the samples are independent and that they've been randomly selected.)