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Bab 8 Pengujian Hipotesis Tentang Proporsi

Bab 8 Pengujian Hipotesis Tentang Proporsi. Pengujian Hipotesis tentang satu Proporsi Urutan yang perlu diperhatikan dalam pengujian hipotesis tentang satu Proporsi adalah sbb : I.Rumusan Hipotesis 1.Ho : p = po 2. Ho : p = po 3. Ho : p = po

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Bab 8 Pengujian Hipotesis Tentang Proporsi

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  1. Bab 8 PengujianHipotesisTentangProporsi PengujianHipotesistentangsatuProporsi Urutan yang perludiperhatikandalampengujianhipotesistentangsatuProporsiadalahsbb : I.RumusanHipotesis 1.Ho : p = po 2. Ho : p = po 3. Ho : p = po Ha : p > po Ha : p < po Ha : p ≠ po Cara perumusan 1 dan 2 disebutpengujiansatuarah masing2 disebutpengujiansatuarahatasdansatuarahbawah II.Tentukannilaiα = tingkatnyata ( significant level ) = probabilitasuntukmelakukankesalahanjenis I dancarinilai Zα atau Zα/2 daritabel Normal

  2. III.HitungZosebagaikriteriapengujian Zo= X – n.po /√n.po(1-po)→ dimana X = sampel dg karakteristiktertentu n = banyaknyaelemensampel(n>30) po = proporsi PengujianHipotesisperbedaanduaProporsi PerumusanHipotesisnyaadalahsebagaiberikut : Ho : p1- p2= 0 ( takadaperbedaanatausama ) Ha : p1- p2 > 0 ( adaperbedaan, p1 > p2 ) Ha : p1- p2< 0 ( adaperbedaan, p1 < p2 ) Ha : p1- p2≠ 0 (p1 tidaksamadengan p2 , atau p1berbeda p2 )

  3. a.Bila n> 30 ( sampelbesar ) { (X1/n1) – (X2/n2)} Zo = √{( X1+X2/n1+n2) {1-(X1+X2/n1+n2) ( 1/n1 + 1/n2) Dimana : X1 = X2 = sampel dg karakteristiktertentu PengujianHipotesisperbedaanlebihdariduaProporsi Dalamprsktek, pengujianHipotesisdapatmencangkuplebihdari duaproporsi. Misalnyapersentasesejenisbarang yang rusakdari 3 pabriksama/tidakberbeda, persentasependuduk yang setuju KB dari 4 desasamadsb. RumusanHipotesisnyaadalah : Ho : p1 = p2 = . . . . Pj = . . . = pk ( = p ) Ha : Tidaksemuanyasama ( paling sedikitadaduaygtaksama )

  4. UntukmengujiHipotesisbahwatakadaperbedaanantara Proporsidari K populasidenganalternatifadaperbedaan , maka Dipergunakanpengujian Kai – Kuadrat Kai nolkuadrat = ∑ ∑ ( nij – eij )2 / eij i=1 j=1 dk = k – 1 Dimana : nij = Banyaknyaelemendengankarakteristik I dan sampel j eij = (n.j) (ni.) / n ataueij = (ni.) (n.j) / n = frekuensiharapan

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