Considerthestandarderror (1 )~n of asampleproportion of successes in n binary trials. (a) Reportthestandarderrorwhen

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Considerthestandarderror

π(1 − π)~n of asampleproportion ˆπ of successes in n binary trials.

(a) Reportthestandarderrorwhen π = 0 or π = 1. Whywouldthisvaluemakesensetoyou evenifyoudidnotknowthestandarderrorformula?

(b) Forfixed n, showthatthestandarderrorisgreatestwhen π = 0.50. Inpractice,whatdoes this suggestabouttheprecisionofinferencesabout π when π is closeto0or1(suchas estimating apopulationproportionofadultswhohaveatleastagrade-schooleducation)

compared towhen π is near0.50(suchaspredictingacloseelection)?

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Foundations Of Statistics For Data Scientists With R And Python

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1st Edition

Authors: Alan Agresti

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Considerthestandarderror (1 )~n of asampleproportion of successes in n binary trials. (a) Reportthestandarderrorwhen

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Foundations Of Statistics For Data Scientists With R And Python

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