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 84 students shows that 37 have 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 proportion single mean (a) What is the level of significance? State the null and alternate hypotheses. Ho: p = 0.35; H1: p + 0.35 Ho: H = 0.35; H1: µ < 0.35 %3D Но: р %3D 0.35; Hi: р> 0.35 Ho: H = 0.35; H1: µ > 0.35 %3D Ho: H = 0.35; H1: µ ± 0.35 %3D Но: р %3D 0.35; Hi: р < 0.35 (b) What sampling distr The standard normal, since np > 5 and nq > 5. ution will you use? What assumptions are you making? The Student's t, since np < 5 and nq < 5. The standard normal, since np < 5 and nq < 5. The Student's t, since np > 5 and ng > 5. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value. (Round your answer to four decimal places.)

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