Question

The Congressional budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journa). A random sample of 115 employees in the private sector showed that I 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 avan sector? Use a 0.05. What are we testing in this problem? Single proportion single mean (a) What is the level of significance? State the null and alternate hypotheses. | - || - 0, 1, Phi 4 = 0,6 Ho: P-0.36; Hip<0.36 Mo = 0.36; M, M +0.36 HO: -0.36; 4: 1 <0.36 Hop 0.36; p +0.36 Ho: P = 0.36; p > 0.36 (b) What samping distribution will you use? What assumptions are you making The standard normal, since 5 and ng < 5. The standard normal, since np > 5 and ng > 5. The Student's t, since p < 5 and ng < 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 (or estimate) the value. P.value > 0.250 0.125 cpuvalue < 0.250 0.050 < P-value < 0.125 0.025 < value < 0.050

Answer 1

Date: Tosca solution- Given that, n=115 115 =0.05. Clevel of significancel P = x - 31 - 0.2696 Po=36% = 0.36 Single proportion The null and alternate hypotheses = 0.36 <0.36 This is left-tailed test b) The standard normal, since I np a 5 ang ng as za p-po Poll-po) V n za 0.2696 - 0-36 10.36 (-0.36)

23-2.02 The test statistic is - 2.02 P-value =0.0217 0.0212 P-value 20.05 <a Reject Ho. Graph (A) is correct. Beject the null hypothesis At a=0.05 level, we reject the null hypothesis and conclude the significant conclusion There is suffice at evidence at the 20.05 love to conclude that the bachelor or higher degrees in the private sector is less than in the federal clvillan sector.