Every year, each student in a nationally representative sample is given tests in various subjects. Recently, 9,600 twelfth-grade students from the United States were administered a multiple-choice United States history exam.

(a) An administrator of the test believes that 30% of the twelfth-grade test-takers got the problem correct. You suspect that this estimation is too high. You take an SRS of 60 tests of twelfth-graders and find that 12 of them had correct answers for the problem. Do you have reasonable evidence to reject the test administrator's claim at a significance level of 0.05?