The Congressional Budget office reports that 36% of federal dvilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 119 employees in the private sector showed that 32 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 cvilan sector? Use a = 0.05. 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 Hi H =0.36; HH<0.36 O Hi p= 0.36; H p>0.36 O Ho: H = 0.36; H:u > 0.36 O H: H- 0.36; H H-0.36 O Hg p-0.36; H p<0.36 O H: P= 0.36; Hp-0.36 (b) what samping distribution will you use? what assumptions are you making? O The standard normal, since np > 5 and ng>s. 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 decmal places.) (c) Find (or estomate) the Pvalue. OPvalue 0.250 O 0.125 < Pvalue <0.250 O 0.050 < Pvalue <0.125 O 0.025 < P-value <0.050 O0 005

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The Conoressional Budget office reports that 36% of federal dvilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 119 employees in the private sector showed that 32 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 civiltan sector? Use a = 0.05.
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.
Ο Hs μ 0.36 , H, μ< 0.36
O Hoi p= 0.36; H p> 0.36
O Ho: H = 0.36; ,: u > 0.36
O Ho: A- 0.36; H: H- 0.36
O Ho: P = 0.36; Hi p< 0.36
O Ho: 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 decmal places.)
(c) Find (or estimate) the P-value.
O P-value > 0.250
O 0.125 < P.value <0.250
O 0.050 < p.value <0.125
O 0.025 < p-value <0.050
O 0.005 < p.value <0.025
O P-value 0.005
Sketch the sampling distrtbution and show the area corresponding to the Pvalue.
US
9 O 10:23
Transcribed Image Text:The Conoressional Budget office reports that 36% of federal dvilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 119 employees in the private sector showed that 32 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 civiltan sector? Use a = 0.05. 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. Ο Hs μ 0.36 , H, μ< 0.36 O Hoi p= 0.36; H p> 0.36 O Ho: H = 0.36; ,: u > 0.36 O Ho: A- 0.36; H: H- 0.36 O Ho: P = 0.36; Hi p< 0.36 O Ho: 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 decmal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P.value <0.250 O 0.050 < p.value <0.125 O 0.025 < p-value <0.050 O 0.005 < p.value <0.025 O P-value 0.005 Sketch the sampling distrtbution and show the area corresponding to the Pvalue. US 9 O 10:23
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