A survey conducted in 2005 in New South Wales (NSW) schools found that 27% of students aged 16 to 17 ate fast food at least three times a week. Suppose that a survey conducted this year of 400 NSW students aged 16 to 17 finds that 128 eat fast food at least three times a week. Is there evidence that the current percentage of 16- to 17-year-old NSW students who eat fast food at least three times a week is greater than 27%?

Using an approximation only, calculate the p-value

Answer the question (yes or no), and explain your reasoning