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 of79students shows that35have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance.

What are we testing in this problem? Single mean, or single proportion

(a) What is the level of significance?

State the null and alternate hypotheses.

(b) What sampling distribution will you use? What assumptions are you making?

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

(c) Find (or estimate) theP-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

(e) Interpret your conclusion in the context of the application.