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The proportion of employees who are likely to stay in their jobs

   

Added on  2021-05-31

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The proportion of employees who are likely to stay in their jobs_1

Statistics 2PART 1: ANALYSISQuestion onea.Mean hours worked Estimate of population meanEstimateofpopulationmean=S.E+1n∑i=1nxi1n∑i=1nxi=20371450=45.27S.E=δ√n=9.81√450=0.46MeanEstimate=45.27±0.46b.The proportion of employees who are “very likely to stay” in their jobsRow LabelsCount of Stay OrgLikely190not sure22Unlikely117Very likely80Very unlikely41Grand Total450Table 1SampleProportion,ῥ=verylikelytotalSampleProportion,ῥ=80450=0.18Estimateoftheproportion,P=S.E±ῥS.E=√pqn=√0.18×0.82450=0.02ProportionEstimate=0.18±0.02
The proportion of employees who are likely to stay in their jobs_2

Statistics 3Question two Testing whether mean work hours are 48 hours a week.To test the claim above, a one sample t-test is employedHypothesis H0: The mean number of hours worked across the industry is 48 per weekVersusH1: The mean number of hours worked across the industry is less than 48 per weekThe test results were as shown below at 95% confidence intervalOne-Sample TestTest Value = 48tdfSig. (2-tailed)Mean Difference95% Confidence Interval of theDifferenceLowerUpperWork hours-5.905449.000-2.73111-3.6401-1.8221Table 2The table above shows the results of a t-test. It can be seen that the p-value computedwhich is 0.00 is less than the level of significance which is 0.05. This guides the test notto accept the null hypothesis and not reject the alternative. The conclusion is thereforethat the mean number of hours worked across the industry is less than 48 per week.Question 3Test for population proportion
The proportion of employees who are likely to stay in their jobs_3

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