The Congressional Budget omoe reports that 3s of federal dvilan employees have a bachelors degree or higher (The Wall Street Journal. A random sample of 122 employees in the private sector showed that 34 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelors degrees or higher in the private sector is less than in the federal ovilian sector? usee0.0s. What are we testing in this problem O single proportion O single mean (a) What is the level of significance State the nul and alternate hypotheses O M -0.3, N 0. O Mi - 0.36; M> 0.36 O Mi-0.36, M 036 O M-034, N 0. (b) What sampiling distribution wil you use what assumptions are you making O The standard normal, since eSand ng S. The Student's t, since neSand neS O The standard normal, since p S and ngS. O The Student's, since np 0250 O 0.125 Pvalue0.20 O 0.0s0 Pvalue.12s O 0.02s Pvalue 0.0so O 0.00s value0.02s OPvaleD.005

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The Congressional Budget Office reports that 365% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 122 employees in the private sector showed that 34 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal
divilian sector? Use e- 0.05.
What are we testing in this problem?
O single proportion
O single mean
(a) What is the level of significance?
State the null and alternate hypotheses.
O H.: p - 0.36; H:p> 0.36
O H:: p - 0.36; H: p+ 0.36
O Hg: - 0.36; HM< 0.36
O Hg: - 0.36; H:M> 0.36
O Hg: H- 0.36; H: M 0.36
O Hg: P - 0.36; H:p< 0.36
(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 standard normal, since np > 5 and ng > 5.
O 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 for estimate) the Pvalue
O P-value > 0.250
O 0.125 < Pvalue < 0.250
O 0.050 < P-value < 0.125
O 0.025 < Pvalue < 0.050
O 0.005 < Pvalue < 0.025
O Pvalue < 0.O05
Transcribed Image Text:The Congressional Budget Office reports that 365% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 122 employees in the private sector showed that 34 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal divilian sector? Use e- 0.05. What are we testing in this problem? O single proportion O single mean (a) What is the level of significance? State the null and alternate hypotheses. O H.: p - 0.36; H:p> 0.36 O H:: p - 0.36; H: p+ 0.36 O Hg: - 0.36; HM< 0.36 O Hg: - 0.36; H:M> 0.36 O Hg: H- 0.36; H: M 0.36 O Hg: P - 0.36; H:p< 0.36 (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 standard normal, since np > 5 and ng > 5. O 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 for estimate) the Pvalue O P-value > 0.250 O 0.125 < Pvalue < 0.250 O 0.050 < P-value < 0.125 O 0.025 < Pvalue < 0.050 O 0.005 < Pvalue < 0.025 O Pvalue < 0.O05
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