Public Agenda conducted a survey of 1,379 parents and 1,342 students in grades 6–12 regarding the importance of science and mathematics in the school curriculum (Associated Press, February 15, 2006). It was reported that 50% of students thought that understanding science and having strong math skills are essential for them to succeed in life after school, whereas 62% of the parents thought these were essential. The two samples—parents and students—were independently selected random samples. Using a confidence level of 95%, estimate the difference between the proportion of students who think that understanding science and having math skills are essential and this proportion for parents.