Question: Using software,simulateformingsampleproportionsforsimplerandomsamplesofsize n = 100 when = 0.50. (Alternatively,youcanuseanapp,suchasthe Sampling Distributionforthe Sample Proportion app at www.artofstat.com/web-apps.) (a) Simulateonceandreportthecountsandtheproportionsforthetwocategories.Didyou get asampleproportioncloseto0.50?Performthissimulationofarandomsampleofsize 100 tentimes,eachtimeobservingthecountsandthecorrespondingsampleproportion of successes.Summarize.

Using software,simulateformingsampleproportionsforsimplerandomsamplesofsize n = 100 when π = 0.50. (Alternatively,youcanuseanapp,suchasthe Sampling Distributionforthe Sample Proportion app at www.artofstat.com/web-apps.)

(a) Simulateonceandreportthecountsandtheproportionsforthetwocategories.Didyou get asampleproportioncloseto0.50?Performthissimulationofarandomsampleofsize 100 tentimes,eachtimeobservingthecountsandthecorrespondingsampleproportion of successes.Summarize.

(b) Nowsimulate10,000timestakingarandomsampleofsize n = 100 and findingthesample proportion.Plotthesimulatedsamplingdistribution.Howdoestheplotreflectresultsof the CentralLimitTheorem?

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