Mark read in the school newspaper that 33.1% of students plan to attend college after graduation. Mark thinks that more than 33.1% of students at his large school plan to go to college. To investigate, he selects a random sample of n=225 students from his school to test hypotheses H0:p=0.331 Ha:p≠0.331 where p is the proportion of students that plan to attend college after graduation.     In Mark's sample, 55 students said that they plan to go to college.   What is the value of the standardized z test statistic and P-value of the test of the given hypotheses?

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