In a representative sample of adult Americans age 26 to 32 years, 27% indicated that they owned a fitness band that kept track of the number of steps walked each day and their daily activity levels (“Digital Democracy Survey,” DeloitteDevelopment LLC, 2016, deloitte.com/us/en.html,  retrieved November 30, 2016). Suppose that the sample size was 500. Is there convincing evidence that more than one-quarter of all adult Americans in this age group own a fitness band? Test the relevant hypotheses using a significance level of 0.05.