rofessor 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 83 students shows that 39 have Jobs. Do the data Indicate that more than 35% of the students have jobs? Use a 5% level of significance.

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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 83 students shows that 39 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?
O single mean
O single proportion
(a) what is the level of significance?
State the null and alternate hypotheses.
O Hại p- 0.35; H: p- 0.35
O Hgi H =0.35; H:u > 0.35
O Hoi p- 0.35; H: p< 0.35
O Ho: = 0.35; H - 0.35
O Ho: P= 0.35; H p> 0.35
O Ho: H = 0.35; H:H<0.35
(b) what sampling distribution will you use? What assumptions are you making?
O The standard normal, since np > 5 and ng>5.
O The Student's t, since np > 5 and ng > 5.
O The Student's t, since np <5 and ng <5.
O The standard normal, since np <5 and ng <5
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find (or estimate) the P-value.
OPvalue> 0.250
O 0.125 < P-value <0.25o
O 0.050 < P-value <0.125
O 0.025 < P.-value <0,05o
O 0.005 < P.value <0.02s
OAvalue <0.005
Sketch the sampling distribution and show the area comresponding to the Pvalue.
9 0 10:21
Transcribed Image Text:SFIograms 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 83 students shows that 39 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? O single mean O single proportion (a) what is the level of significance? State the null and alternate hypotheses. O Hại p- 0.35; H: p- 0.35 O Hgi H =0.35; H:u > 0.35 O Hoi p- 0.35; H: p< 0.35 O Ho: = 0.35; H - 0.35 O Ho: P= 0.35; H p> 0.35 O Ho: H = 0.35; H:H<0.35 (b) what sampling distribution will you use? What assumptions are you making? O The standard normal, since np > 5 and ng>5. O The Student's t, since np > 5 and ng > 5. O The Student's t, since np <5 and ng <5. O The standard normal, since np <5 and ng <5 What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. OPvalue> 0.250 O 0.125 < P-value <0.25o O 0.050 < P-value <0.125 O 0.025 < P.-value <0,05o O 0.005 < P.value <0.02s OAvalue <0.005 Sketch the sampling distribution and show the area comresponding to the Pvalue. 9 0 10:21
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