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ITS » Undergraduate Theses » Matematika Ekstensi Posted by dee@its.ac.id at 25/08/2011 10:49:06 • 2698 Views
KAJIAN SELANG KEPERCAYAAN UNTUK PROPORSI BINOMIAL
CONFIDENCE INTERVAL STUDY FOR BINOMIAL PROPORTION
Author : WIJAKSONO, AGUNG WAHYU ( 1203109021 )
ABSTRAK
Pada Tugas Akhir ini dilakukan pengkajian untuk mendapatkan formula size dan power dari suatu uji hipotesis dan formula interval kepercayaan dari suatu uji proporsi berdistribusi Binomial. Dalam proses pengerjaannya terdapat beberapa langkah yang harus dilakukan dalam penentuan size dan power interval kepercayaan dari suatu uji proporsi dengan besaran sampel yang berbeda. Formula interval kepercayaan dicari dengan menggunakan interval kepercayaan Clopper-Pearson sehingga diperoleh nilai kepercayaan batas atas dan batas bawah.
Interval kepercayaan dari uji proporsi sampel ini digunakan untuk melihat apakah taksiran proporsi sampel sama dengan proporsi populasi. Jika nilai taksiran proporsi populasi berada dalam selang kepercayaan maka dapat diambil keputusan bahwa nilai proporsi sampel sama dengan proporsi populasi.
Dalam contoh kasus data sampel jumlah penduduk yang terinfeksi HIVAIDS pada tiap propinsi yang ada di Indonesia dengan taraf signifikan 5 terjadi penyebaran infeksi virus HIV AIDS
ABSTRACT
This Final Project to get the formula size and power of a hypothesis test and confidence interval formula of a Binomial proportion test distribution. In this project there are several steps that must be done in determining the size and power confidence intervals from a test of proportion with the amount of different samples. Formula confidence interval found using Clopper-Pearson confidence intervals so that the confidence values obtained upper and lower limits.
Confidence interval of the sample proportion test was used to see whether the estimated proportion of the sample equal to the proportion of the population. If the value of the estimated proportion of the population is in the confidence interval it can be taken a decision that the value of the sample proportion equal to the proportion of the population.
In the case of sampled data the number of people infected with HIV AIDS in every province in Indonesia with a significant level 5 the spread of viral infections of HIV AIDS.
Keywords:
Size dan power; Interval kepercayaan; Proporsi Binomial
Subject
: Distribusi; Teori (matematika)
Contributor
Dra. Farida Agustini W, MS
Date Create
: 02/02/2011
Type
: Text
Format
: pdf
Language
: Indonesian
Identifier
: ITS-Undergraduate-3100011043043
Collection ID
: 3100011043043
Call Number
: RSMa 519.24 Wij k
Source Undergraduate Thesis of Mathematics, RSMa 519.24 Wij k, 2011
Coverage ITS Community
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