The marketing manager for the print division of Publishing and Broadcasting Limited claims that 27% of university students regularly read the...

The marketing manager for the print division of Publishing and Broadcasting Limited claims that 27% of university students regularly read the Bulletin magazine. A survey of 95 students showed that 35 students actually read the Bulletin regularly. Assuming the manager's claim is correct, determine (to 4 decimal places):

1.the standard error for the sampling distribution of the proportion. 

2. the probability that the sample proportion could be at least that found in the survey.