Hypothesis Testing Essay Example
Course No: URP-2151
Course Title: Statistics for planners-II
An Assignment
On
Hypothesis Testing
Submitted By: 090430 Date of Submission: 19.09.2010
Urban and Rural Planning Discipline
Khulna University, Khulna
Preface:
A hypothesis is a statement about a population parameter developed for the purpose of testing. The terms hypothesis testing and testing a hypothesis are used interchangeably. Hypothesis testing starts with a statement, or assumption, about a population parameter. The statistical testing of hypothesis is the most important technique in statistical inference. There is a different type of test statistics for hypothesis testing. Here the discussions of four types of test statistics are given below:
• The chi-square test.
• ANOVA (Analysis of variance).
• The z test or large sample test.
• The t test or small sample test.
Z-Test:
The Z-test is a statistical test used in inference which determines if the difference between a sample mean and the population mean is large enough to be statistically significant, that is, if it is unlikely to have occurred by chance.
The "Z-Test" is used a lot in statistical analysis and business research. Usually when a research or survey is carried out, a sample population is interviewed, and the number of people actually interviewed is much smaller than the actual population of the subjects of the research.
The researchers carry out the Z-Test to determine whether the results of the survey can be considered as representative of the entire population or not.
When we can do z-test?
➢ When data points are independent from each other. ➢ Z-test is preferable when sample size is greater than 30. ➢ The distributions should be normal if sample size is low, if however sample size>30 the distribution of the data does not have to be normal ➢ When the variances of the samples are same. ➢ When all individuals are
Course Title: Statistics for planners-II
An Assignment
On
Hypothesis Testing
Submitted By: 090430 Date of Submission: 19.09.2010
Urban and Rural Planning Discipline
Khulna University, Khulna
Preface:
A hypothesis is a statement about a population parameter developed for the purpose of testing. The terms hypothesis testing and testing a hypothesis are used interchangeably. Hypothesis testing starts with a statement, or assumption, about a population parameter. The statistical testing of hypothesis is the most important technique in statistical inference. There is a different type of test statistics for hypothesis testing. Here the discussions of four types of test statistics are given below:
• The chi-square test.
• ANOVA (Analysis of variance).
• The z test or large sample test.
• The t test or small sample test.
Z-Test:
The Z-test is a statistical test used in inference which determines if the difference between a sample mean and the population mean is large enough to be statistically significant, that is, if it is unlikely to have occurred by chance.
The "Z-Test" is used a lot in statistical analysis and business research. Usually when a research or survey is carried out, a sample population is interviewed, and the number of people actually interviewed is much smaller than the actual population of the subjects of the research.
The researchers carry out the Z-Test to determine whether the results of the survey can be considered as representative of the entire population or not.
When we can do z-test?
➢ When data points are independent from each other. ➢ Z-test is preferable when sample size is greater than 30. ➢ The distributions should be normal if sample size is low, if however sample size>30 the distribution of the data does not have to be normal ➢ When the variances of the samples are same. ➢ When all individuals are