Exercises chapter 10 - Lecture notes chqp 10 PDF

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BasicExercises.Chapter10 1. a. b. c. d.

Supposethatyouselectasampletotestthenullhypothesis :   .40 Whatisthestandarddeviationofthesampleproportionifthesamplesizeis50? Whatisthestandarddeviationofthesampleproportionifthesamplesizeis100? Whatisthestandarddeviationofthesampleproportionifthesamplesizeis1000? Whyarewecalculatingastandarddeviationandnotastandarderror?

2. Supposethatyouaretestingthehypotheses :   .30vs.  :   .30.Asampleof size500resultsinasampleproportionof.25. a. Whatisthestandarddeviationofthesampleproportion? b. Computethevalueofthezstatistic. c. FindtheP‐valueassociatedwiththiszstatistic. d. Stateyourconclusionat  0.05. 3. Supposethatyouaretestingthehypotheses :   .75vs.  :   .75.Asampleof size100resultsinasampleproportionof.80. a. Whatisthestandarddeviationofthesampleproportion? b. Computethevalueofthestatistic. c. FindtheP‐valueassociatedwiththisstatistic. d. Stateyourconclusionat  .05. 4. Supposethatyouaretestingthehypotheses :   .55vs.  :   .55.Asampleof size1000resultsinasampleproportionof.51. a. Whatisthestandarddeviationofthesampleproportion? b. Computethevalueofthezstatistic. c. FindtheP‐valueassociatedwiththisstatistic. d. Stateyourconclusionat  .05. 5. Supposethatyouaretestingthehypotheses :   .20vs.  :   .20Asampleof size250resultsinasampleproportionof.25. a. Constructa95%confidenceintervalfor. b. Basedontheconfidenceinterval,at=.05canyoureject ?Explain. c. Whatisthedifferencebetweenthestandarderrorandstandarddeviationofthe sampleproportion? d. Whichisusedincomputingtheconfidenceinterval?

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