What is the probability that the sample proportion more than is 0.33? (details inside)

Question

Based on historical data in Oxnard college, we believe that 26% of freshmen do not visit their counselors regularly. A random sample of 81 freshmen will be used to estimate the proportion of the students who do not visit their counselors regularly. 

Answer 1

P( phat > 0.33) = P(Z > (0.33 - 0.26)/sqrt(0.26 * 0.74/81)) = P(Z>1.436) = 0.076, so roughly 7.6%.