Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or...

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs. A random sample of 82 students shows that 39 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

(a) What is the level of significance?

(b) What is the value of the sample test statistic? (Round your answer to two decimal places.)