10) The admissions office finds that only 29% of the 300 graduates in the SRS had full time employment within one month of graduation. Assuming the university's claim that 32% will have employment is true, find the probability that 29% or less of a sample of 300 have fulltime employment.

a) Calculate the z-score for 29% employed in a sample taken from a population with 32% employed. Use the u and o that you identified above. Round to 2 decimal places.

2 points

b) What is P(X < 0.29)? Use the standard normal table to find the probability of being less than the z-score you calculated above.