One of Natalia's professors claims that 13% of the students at their college frequently wear hats. Natalia feels that the actual rate is much lower. She selects a random sample of 100 students at the college and finds that only 9 of them wear hats frequently. To determine if her data provide convincing evidence that the true proportion is less than 13%, she conducts 200 trials of a simulation. Natalia is testing the hypotheses. H o p = 13% and Ha p< 13%, where p = the true proportion of students at the college who frequently wear hats. Based on the results of the simulation, what is an estimate of the P-value of the test? ​