There are two major college entrance exams that a majority of colleges accept for admission, the SAT and ACT. ACT looked at historical records and established 21 as the minimum score on the ACT reading portion of the exam for a student to be considered prepared for social science in college.

An official with the Illinois State Department of Education wonders whether a majority of the students in her state are prepared to take social science. She obtains a simple random sample of 500 records of students who have taken the ACT and finds that 269 are prepared for social science in college (that is, scored at least 21 on the reading portion of the ACT). Does this represent significant evidence that a majority of the students in the state of Illinois are prepared for social science in college upon graduation? Use the α = 0.05 level of significance.