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 80 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 proportionsingle mean (a) What is the level of significance?State the null and alternate hypotheses. H0: p = 0.35; H1: p < 0.35H0: μ = 0.35; H1: μ ≠ 0.35 H0: μ = 0.35; H1: μ < 0.35H0: p = 0.35; H1: p > 0.35H0: p = 0.35; H1: p ≠ 0.35H0: μ = 0.35; H1: μ > 0.35 (b) What sampling distribution will you use? What assumptions are you making? The Student's t, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The standard normal, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round your answer to two decimal places.)(c) Find (or estimate) the P-value. P-value > 0.2500.125 < P-value < 0.250 0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025P-value < 0.005

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Description: 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 80 students sho

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 80 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 proportionsingle mean

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p = 0.35; H₁: p < 0.35H₀: μ = 0.35; H₁: μ ≠ 0.35 H₀: μ = 0.35; H₁: μ < 0.35H₀: p = 0.35; H₁: p > 0.35H₀: p = 0.35; H₁: p ≠ 0.35H₀: μ = 0.35; H₁: μ > 0.35

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

The Student's t, since np < 5 and nq < 5.The Student's t, since np > 5 and nq > 5. The standard normal, since np > 5 and nq > 5.The standard normal, since np < 5 and nq < 5.

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

(c) Find (or estimate) the P-value.

P-value > 0.2500.125 < P-value < 0.250 0.050 < P-value < 0.1250.025 < P-value < 0.0500.005 < P-value < 0.025P-value < 0.005

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