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 81 students shows that 39 have jobs. Test to see if the data indicate that more than 35% of the students have jobs. Use a 1% level of significance.

Step 0: Check requirements. State which distribution you will use to perform this test and state why it is appropriate.

Step 1: State the null hypothesis, alternate hypothesis, and level of significance.

Step 2: Give the sample test statistic and compute the appropriate z-val or t-val.

Step 3: Compute the P-value for the test.

Step 4: Conclude the test, i.e., will you reject or fail to reject 0?

Step 5: Interpret your results within the context of the problem. (Note: the interpretation must include the level of significance.)