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PUB 504 -41 Summer 2018 Final ExamDO WELL! Remember, this should be your individual work. You cannot consult anybody.Provide your answers below to each question. Do not delete the questions.Part 1 (20 POINTS)The respondents of General Social Survey, 2014 were asked the following question: “How hardis it to take time off during your work to take care of personal or family matters?”1.Write a summary paragraph for thevariablepresented in the SPSS frequency table below.2.Constructconfidence interval (c.i.) forNot at all hardandnot too hard(combined)
populationpercentage3.Explain whatthis resultmeans in plain English..HOW HARD TO TAKE TIME OFFFrequencyPercentValid PercentCumulativePercentValidNot at all hard49419.539.739.7Not too hard37214.729.969.7Somewhat hard2479.719.989.5Very hard1305.110.5100.0Total124349.0100.0MissingIAP128850.7DONT KNOW2.1NO ANSWER5.2Total129551.0Total2538100.0Answer:
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2.Since there are only two categories, the confidence interval for either category can beconstructed from its proportion. The proportion for “not hard” is 0.696, so that p = 0.696and q = 1 – p = 1 – 0.696 = 0.304. Suppose a 95% confidence interval is to beconstructed, so that the z value is 1.96. Therefore, the margin of error ME can becalculated as ME = z *p(1p)n= 1.96 *0.696×0.3041243= 0.0256. Therefore,the lower bound is 0.696 – 0.0256 = 0.6704 and the upper bound is 0.696 + 0.0256 =0.7216. Therefore, in terms of percentage the 95% confidence interval for the category“not hard” is (67.04%, 72.16%). Similarly for the category “hard” the lower bound is0.304 – 0.0256 = 0.2784 and the upper bound is 0.304 + 0.0256 = 0.3296. Therefore, interms of percentage the 95% confidence interval for the category “hard” is (27.84%,32.96%).3.It means that if many such identical samples are taken then the population mean of thepercentage for the category “not hard” will be between 67.04% and 72.16% in 95% ofthose samples, while the population mean of the percentage for the category “hard” willbe between 27.84% and 32.96% in 95% of those samplesPart 2 (20 POINTS)1.For variable wwwhr “[Respondent] use WWW hours per week) (donotrecode the variable) –produce the most appropriate SPSStableandgraph.

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Term
Fall
Professor
N/A
Tags
Statistics, Standard Deviation, Mean, Statistical hypothesis testing, lower bound

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