It has been claimed that 70% of the students attending a large state university are opposed to a plan to increase student fees in order to build new parking facilities. You believe that more than 70% of the students are opposed to this plan. In order to test your theory, you decide to put what you've learned this semester to use by randomly surveying 50 students and asking them if they are in favor of or opposed to the university's plan.

If 40 people in your sample say they are opposed to the extra fees, what is the p- value of the test? Note: Round answers to 4 decimal places and include a leading zero, i.e., 0.5267