This essay focuses on estimating a population parameter. The average (aka mean) of sample values is a statistic. The term statistic is use both for the function and for the value of the function on a give sample.

estimating a population parameter

When the chi-square statistic is used in testing hypotheses? Include underlying assumptions and the test statistic for testing hypotheses on a single population variance. ● What is the criterion for rejecting the null hypothesis for both non-directional and directional tests in chi-squared test of hypotheses? How do you find the p value in each case? Text book needed: Zikmund, W. G., Babin, B. J., Carr, J. C. & Griffin, M. (2013).

Business research methods (9th ed.). Cengage Learning ISBN-13: 9781111826949 Chapter reading:

Reading: Zikmund et al. (9th ed.) ○ Chapter 21: Univariate Statistical Design ○ Chapter 22: Bivariate Statistical Analysis: Differences Between Two Variables ● Reading: Field (5 th ed.) ○ Chapter 5: Exploring Data with Graphs ○ Chapter 6: The Beast of Bias ○ Chapter 10: Comparing Two Means.

Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average (aka mean) of sample values is a statistic. The term statistic is use both for the function and for the value of the function on a give sample.

When a statistic is being use for a specific purpose, it may be refer to by a name indicating its purpose.

When a statistic is use to estimate a population parameter, the statistic is call an estimator. A population parameter is any characteristic of a population under study. But when it is not feasible to directly measure the value of a population parameter. Statistical methods are use to infer the likely value of the parameter on the basis. A statistic compute from a sample taken from the population. For example, the mean of a sample is an bias estimator of the population mean

This means that the expect value of the sample mean equals the true mean of the population.

In descriptive statistics, a descriptive statistic is use to describe the sample data in some useful way. In statistical hypothesis testing, a test statistic is use to test a hypothesis. Note that a single statistic can be use for multiple purposes . For example the sample mean can be use to estimate the population mean, to describe a sample data set, or to test a hypothesis.