The Numerical and its Application in the Interval Estimates and Hypothesis Test

2010 ◽  
Vol 143-144 ◽  
pp. 1391-1395
Author(s):  
Xin Chun Wang ◽  
Xing Hua Ma ◽  
Bing Han

The whole unknown parameters estimation and hypothesis testing is the most common and most commonly used statistical inference,so clarify the relationship between them is very important.Clearing both unity and not uniformity will help to amend the emergence of some specious argument of statistical work. In this paper, some differences were analyzed on interval estimation and hypothesis testing of statistical inference theory,the scope of their application of two methods was discussed, the dualityof Neyman —Pearson hypothesis testing and confidence interval was described Then provided the method of determining the unknown parameters’ confidence interval in hypothesis test.at the same time, it provided the ideas how to solve the problem of refusal field of hypothesis test througn confidence interval . As the confidence interval of the statistics varies with the selected significance level and sample size, it is heavily influenced by subjective factors.

2014 ◽  
Vol 543-547 ◽  
pp. 1717-1720
Author(s):  
Da Yang

Mathematical statistics is a branch of mathematics has extensive application of interval estimation and hypothesis testing, which are two important problems of statistical inference. As two important statistical inference methods, interval estimation and hypothesis testing problem is more and more widely used in the field of economic management, finance and insurance, scientific research, engineering technology, the science of decision functions are recognized by more and more people. Can go further to establish mutual influence and communication between the interval estimation and hypothesis testing, can use the theory to explain the problem of interval estimation of parameter hypothesis test, this is an important problem to improve the statistical inference theory. Therefore, the basis on the internal relations between the interval estimation and hypothesis test for deep research, explain the problem of hypothesis testing and interval estimation from the point of view, discusses the difference and connection between the two.


2020 ◽  
Vol 14 (1) ◽  
pp. 45-60
Author(s):  
Yashinta Yashinta ◽  
Dwi Hurriyati

This study aims to determine the relationship of loneliness with problematic internet use on boarding students on Silaberanti street in Siantan jaya Opposite Ulu 1 Palembang city. Research subjects numbered 220 people using random sampling methods. Data was collected using a 60 item problematic internet use scale and a 60 item loneliness. Realibility is generated on scale of problematic internet use of 0,955 and loneliness of 0,946.Hypothesis testing uses product moment correlation analysis techniques. Hypothesis test results showed a positive relationshif between loneliness with problematic internet use on boarding students on Silaberanti street in Siantan jaya Opposite Ulu 1 Palembang city r= 0,684 with a significance level of 0,000 (p<0,01). Loneliness in this study made an effective contribution of 46,8% to problematic internet use which can be seen from the coefficient of determination (r²) that is equel to 0,468.


1999 ◽  
Vol 79 (2) ◽  
pp. 186-195 ◽  
Author(s):  
Julius Sim ◽  
Norma Reid

Abstract This article examines the role of the confidence interval (CI) in statistical inference and its advantages over conventional hypothesis testing, particularly when data are applied in the context of clinical practice. A CI provides a range of population values with which a sample statistic is consistent at a given level of confidence (usually 95%). Conventional hypothesis testing serves to either reject or retain a null hypothesis. A CI, while also functioning as a hypothesis test, provides additional information on the variability of an observed sample statistic (ie, its precision) and on its probable relationship to the value of this statistic in the population from which the sample was drawn (ie, its accuracy). Thus, the CI focuses attention on the magnitude and the probability of a treatment or other effect. It thereby assists in determining the clinical usefulness and importance of, as well as the statistical significance of, findings. The CI is appropriate for both parametric and nonparametric analyses and for both individual studies and aggregated data in meta-analyses. It is recommended that, when inferential statistical analysis is performed, CIs should accompany point estimates and conventional hypothesis tests wherever possible.


2018 ◽  
Vol 5 (1) ◽  
pp. 74-85
Author(s):  
Zummy Anselmus Dami ◽  
Paula Alfa Loppies

The purpose of this research is to investigate the relationship between significance or know the academic efficacy and procrastination academic with achievement students academic of project study guidance and counseling, Teaching and Education Faculty University PGRI East Nusa Tenggara. The number of samples used in the study as much as 92 students drawn from population 1180 includes force 2009 as much as much as 102 students 2010 force 205 students, 2011 as much as 368 students, and force as many as 505 2012 student. The sampling technique used is the purposive sampling technique. Tool collecting data using a detailed questionnaire with Likert scale, which consists of a detailed questionnaire for academic procrastination and academic efficacy. While the achievement of student learning is measured based on the CPI. The analysis used in this study is the technique of correlation of Product Moment with the help of SPSS Version 18.0. The first hypothesis test results showed that the relationship between academic procrastination and academic achievement, known (r) correlation coefficient between academic procrastination and academic achievement of 0.015 with p 0.890 > 0.05 negative correlation, direction and with the guidelines of the wear level of significance of 5%, obtained p 0.890 > 0.0.5 then correlation between academic procrastination and academic achievement is declared not significant. The second hypothesis test results showed a relationship between academic efficacy with academic achievement, known coefficient of correlation (r) between academic efficacy and academic achievement -0.004 0.970 > with p 0.05, direction correlation negative and wear guidelines significance level 5%, obtained p 0.970 > 0.05 then correlation between academic efficacy with academic achievement is expressed is not significant. While the third hypothesis test results showed the absence of significant correlation between academic procrastination and academic efficacy simultaneously toward academic achievement with the retrieved R square (coefficient of determination) of 0000, and the coefficient correlation of 0.015 with 0.990 > p 0.05. Further, it is known from the Fcount of 0.010 of Ftable of 3.10, so that H0 is accepted and Ha was rejected.


2020 ◽  
Vol 4 (2) ◽  
pp. 40-45
Author(s):  
Lisdewi Martini ◽  
Soeprijanto ◽  
Faried Wadjdi

This research aims to determine of the relationship between motivation being a teacher and the value of PKM students teaching skills. In this research using quantitative approach with descriptive-correlative method. The population and sample in this research is the students in Electrical Engineering Department, Faculty of Engineering, State University of Jakarta. The technique of data collection is hypothesis test, t-test with previously performed prerequisite analysis test: normality test and linearity test.The calculation  results shows that hypothesis test with significance level of 5% obtained rcount = 0,4685 and rtable = 0,230 rcalculated > rtable then the value that of tcalculated = 4,04652 and ttabel = 1,998 which tcalculated > ttabel  then its shows that there is positive and significant relationship between motivation being a teacher and the value of PKM students teaching skills. This research contributes to the world of education about the relationship between motivation being a teacher and the value of PKM students teaching skills and being a reference material for the next research, so the learning that gives is able to encourage or increase motivation being a teacher for students. ABSTRAK Penelitian ini bertujuan untuk mengetahui hubungan antara motivasi menjadi guru dengan nilai keterampilan mengajar mahasiswa PKM. Pada penelitian ini menggunakan pendekatan kuantitatif dengan metode deskriptif korelatif. Populasi dan sampel dalam penelitian adalah mahasiswa Program Studi Teknik Elektro Fakultas Teknik Univeristas Negeri Jakarta. Teknik analisis data yang digunakan adalah uji hipotesis dan uji-t yang sebelumnya dilakukan uji prasyarat analisis menggunakan uji normalitas dan uji linieritas. Hasil penelitian menunjukan bahwa uji hipotesis dengan taraf signifikansi 5% diperoleh nilai rhitung = 0,4685 dan nilai rtabel = 0,230, kemudian nilai thitung sebesar = 4,04652 dan nilai ttabel sebesar = 1,998 dimana thitung  >  ttabel  maka menunjukan terdapat hubungan yang positif dan signifikan antara motivasi menjadi guru dengan nilai keterampilan mengajar mahasiswa PKM. Penelitiam ini memberikan kontribusi pada dunia pendidikan mengenai hubungan antara motivasi menjadi guru dengan nilai keterampilan mengajar mahasiswa PKM dan menjadi bahan referensi untuk penelitian selanjutnya, sehingga pembelajaran yang diberikan mampu mendorong atau meningkatkan motivasi menjadi guru pada mahasiswa.


2020 ◽  
Vol 6 (2) ◽  
pp. 129
Author(s):  
Agustina Luju ◽  
Wahyuningsih Wahyuningsih ◽  
Magdalena Dhema ◽  
Muhamad Epi Rusdin

Teaching aids in the world of education is a medium that mediates to help clarifying concepts in learning mathematics. This study aims to determine the efect of the use of toy car props on students’ interest in learning mathematics, especially in comparison material. This research was conducted at SMPN I Bola VII class semester 2 of the 2019/2020 scholl year. This type of research is quantitative by using a quasi-experimental methods. The population of this study were 192 studentsof class VII SMPN I Bola with a sample 0f 23 students in the experimental class and 23 from the control class. The sampling technique used is class random technique. The instrument used in this study was a questionnaire of interest in learning. Before carrying out a hypothesis test it is necessary to do a prerequisite test that is a test for normality and homogeneit. The normality test  obtained significant values in the experimental class and control were 0,136 and 0,620, because the value obtained has a significance level 0f >0,05, it can be stated that the data is normally distributed. For the homogeneity test, the results obtained a significant value of 0,001 at a sisnificant level of 0,05, so it can be said that the data is homogeneous. After the data is normally distributed and homogeneous, it is continued with hypothesis testing. Hypothesis testing used the independent sample t-test obtained value of  t-count > t-table where t-count = 6,49 while t-table = 2,01 which means that the use of toy props has an effect on the interest in learning mathematics in class VII SMPN I Bola where students’interest in learning mathematics increases. Thus the teacher can use toy props related to the material and can be used in matematics learning so that students’ interest in learning mathematics increases.


Author(s):  
M. D. Edge

Interval estimation is the attempt to define intervals that quantify the degree of uncertainty in an estimate. The standard deviation of an estimate is called a standard error. Confidence intervals are designed to cover the true value of an estimand with a specified probability. Hypothesis testing is the attempt to assess the degree of evidence for or against a specific hypothesis. One tool for frequentist hypothesis testing is the p value, or the probability that if the null hypothesis is in fact true, the data would depart as extremely or more extremely from expectations under the null hypothesis than they were observed to do. In Neyman–Pearson hypothesis testing, the null hypothesis is rejected if p is less than a pre-specified value, often chosen to be 0.05. A test’s power function gives the probability that the null hypothesis is rejected given the significance level γ‎, a sample size n, and a specified alternative hypothesis. This chapter discusses some limitations of hypothesis testing as commonly practiced in the research literature.


2020 ◽  
Vol 5 (1) ◽  
pp. 48-55
Author(s):  
Wahyu Agung Utomo ◽  
Faried Wadjdi ◽  
Aris Sunawar

The purpose of this research is to know the level of closeness: (1) the relationship between the use of social media in learning with electrical and electronic basic learning outcomes, (2) the relationship between learning motivation with electrical and electronic basic learning outcomes, (3) the relationship between the use of social media in learning and learning together with basic electricity and electronics. This research used a sample of 72 people, namely Grade X students of the Expertise Program Electrical Power Engineering in SMK Dinamika Pembangunan 1, Jakarta. This research uses a descriptive correlative expost facto research method with a quantitative approach. Data from the results of the study will be tested with the analysis prerequisite test and hypothesis prerequisite test with a significance level of 5%. Based on the results of the calculation of the hypothesis test can be concluded: (1) there is a positive and significant relationship between the use of social media in learning with electrical and electronic basic learning outcomes seen from the value of ryx1 = 0.532> rtable = 0.232 and tcount = 5.249> ttable = 1.994; (2) there is a positive and significant relationship between learning motivation with electrical and electronic basic learning outcomes seen from the value of ryx2 = 0.603> rtable = 0.232 and tcount = 6.328> ttable = 1.994; 3) there is a positive and significant relationship between the use of social media in learning and learning motivation together with the basic learning outcomes of electricity and electronics seen from the value of ryx1x2 = 0.6363> rtable = 0.232 and value of Fcount = 23.47> Ftable = 3.13. Based on the results of the analysis of these data it can be concluded that there is a positive and significant relationship between the independent variables together with the basic learning outcomes of electricity and electronics.   ABSTRAK Tujuan dari penelitian ini adalah untuk mengetahui tingkat keeratan: (1) hubungan antara penggunaan media sosial dalam belajar dengan hasil belajar dasar listrik dan elektronika, (2) hubungan antara motivasi belajar dengan hasil belajar dasar listrik dan elektronika, (3) hubungan antara penggunaan media sosial dalam belajar dan motivasi belajar secara bersama-sama dengan hasil belajar dasar listrik dan elektronika. Penelitian ini menggunakan sampel menjadi 72 orang yaitu siswa kelas X Program Keahlian Teknik Instalasi Tenaga Listrik Di SMK Dinamika Pembangunan 1 Jakarta. Penelitian ini menggunakan metode penelitian ex-post facto yang bersifat deskriptif korelatif dengan pendekatan kuantitatif. Data dari hasil penelitian akan diuji dengan uji prasyarat analisis dan uji prasyarat hipotesis dengan taraf signifikansi 5%. Berdasarkan hasil perhitungan uji hipotesis dapat disimpulkan: (1) terdapat hubungan yang positif dan signifikan antara penggunaan media sosial dalam belajar dengan hasil belajar dasar listrik dan elektronika dilihat dari nilai ryx1 = 0,532 > rtabel = 0,232 dan nilai thitung = 5,249 > ttabel = 1,994; (2) terdapat hubungan yang positif dan signifikan antara motivasi belajar dengan hasil belajar dasar listrik dan elektronika dilihat dari nilai ryx2 = 0,603 > rtabel = 0,232 dan nilai thitung = 6,328 > ttabel = 1,994;       3) terdapat hubungan yang positif dan signifikan antara penggunaan media sosial dalam belajar dan motivasi belajar secara bersama-sama dengan hasil belajar dasar listrik dan elektronika dilihat dari nilai ryx1x2 = 0,6363 > rtabel = 0,232 dan nilai Fhitung = 23,47 > Ftabel = 3,13. Berdasarkan hasil analisis data tersebut maka dapat di simpulkan bahwa terdapat hubungan yang positif dan signifikan antara variabel bebas secara bersama-sama dengan hasil belajar dasar listrik dan elektronika.


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