Sample surveys show that more people are tracking changes in

Sample surveys show that more people are tracking changes in their health on paper, spreadsheet, mobile device, or just ‘in their heads.’ A survey asked a nationwide random sample of 3014 adults ‘Now thinking about your health overall, do you currently keep track of your own weight, diet, or exercise routine, or is this not something you currently do?’ The population that the poll wants to draw conclusions about is all U.S. residents aged 18 and over. Suppose that in fact 62% of all adult U.S. residents would say ‘Yes’ if asked this question. What is the probability that 1900 or more of the sample say ‘Yes’?