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 that38have 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 meansingle proportion

(a) What is the level of significance? State the null and alternate hypotheses.

H₀:= 0.35;H₁:< 0.35H₀:p= 0.35;H₁:p> 0.35 H₀:= 0.35;H₁:> 0.35H₀:= 0.35;H₁:0.35H₀:p= 0.35;H₁:p0.35H₀:p= 0.35;H₁:p< 0.35

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

The Student'st, sincenp< 5 andnq< 5.The standard normal, sincenp< 5 andnq< 5. The Student'st, sincenp> 5 andnq> 5.The standard normal, sincenp> 5 andnq> 5.

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