A magazine published a paper on the relationship between education level and earnings. The data for the research were obtained from a national survey of over 25,000 respondents. The survey revealed that males with a postgraduate degree had a mean salary of $61,241 (with standard error 5: =$2.1B4). while females with a postgraduate deqree had a mean of $32,328 (With standard error s,- = $931), Complete parts a throuqh f, E) a. The article reports that a 95% confidence interval for pm, the population mean salary of all males With postgraduate degrees, is ($56,960, $65,522). Based on this interval, is there evidence to say that \"M differs from $54,000? Explain. . Yes, because the population mean, MA, is within the confidence interval, . No, because the population mean, WA, is Within the confidence interval, . No, because the population mean. uM, is not within the confidence interval. . Yes, because the population mean, \"Mr is not Within the confidence interval, b. Use the summary information to test the hypothesis that the true mean salary of males With postgraduate degrees differs from $54,000, Use or: 0.05. (Note' s; :s/.) Determine the null and alternative hypotheses, Choose the correct answer below, . H0: M = 54,000 B. H0: MN, $54,000 HE: M 54,000 Find the test statistic. z = (Round to two decimal places as needed.) Find the rejection region. Choose the correct answer pelow. L A. Zi,645 C" F. z>1.96 A magazine published a paper on the relationship between education level and earnings. The data for the research were obtained from a national survey of over 25,000 respondents. The survey revealed that males with a postgraduate degree had a mean salary of $61 ,241 (with standard error 5* = $2,184). while females with a postgraduate degree had a mean of$32.328 (With standard error s7 =$931i Complete parts a throuoh f. L/l. 42 was er. 42ml) Determine a conclusion, Choose the correct answer below. Do not reject Ho- There is sufficient evidence to conclude that the true mean salary of males with postgraduate degrees differs from $54,000. ReJect H0 There is sufficient evidence to conclude that the true mean salary of males with postgraduate degrees differs from $54,000. Do not reject Ho- There is insufficient evidence to conclude that the true mean salany of males With postgraduate degrees differs from $54,000, ReJect H0 There is insufcient evidence to conclude that the true mean salary of males with postgraduate degrees differs from $54,000. 5. Do the inferences in parts a and I) agree? Explain why or why not. . The inferences disagree because ofa Type II error in the hypothesis test. , The inferences agree because the confidence expressed in the confidence interval is being expressed as the error rate for the hypothesis test. . The inferences disagree because ofa Type I error in the hypothesis test. . The inferences agree because of a Type ll error in the hypothesis test. The inferences agree because of a Type 1 error in the hypothesis test. The inferences disagree because the confidence expressed in the confidence interval is being expressed as the error rate for the hypothesis test d. The article reports that a 95% confidence interval for pF, the population mean salary of all females with postgraduate degrees. is ($30,503, $34,153) Based on this interval. is there evidence to say that \"F differs from $26,000? Explain. . Yes, because the population mean, pF, is not within the confidence interval. '1) B. Yes, because the population mean, W, is within the confidence interval, C) C. No, because the population mean, pF, is not within the confidence interval, No. because the population mean, pF, is within the confidence interval. A magazine published a paper on the relationship between education level and earnings. The data for the research were obtained from a national survey of over 25.000 respondents. The survey revealed that males with a postgraduate degree had a mean salary of $61 .241 (with standard error s: = $2,184). while females With a postgraduate degree had a mean of $32,328 (with standard error s: = $931). Complete parts a through f. e. Use the summary information to test the hypothesis that the true mean salary of females with postgraduate degrees differs from $26,000. Use ot= 0.05. (Note: s; =s/W.) Determine the null and alternative hypotheses, Choose the correct answer below, Ho: \"F = 26,000 .2; E. Ho: \"F = 26,000 Ha: 0,: 26,000 Ha: 0,: 26,000 H341F = 26,000 Find the test statistic. 2: (Round to two decimal places as needed.) Find the reiection region. Choose the correct answer below. A. z>t.545 . z1.645 . z>i.96 E. z1.96 z