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A probability sampling method is any method of sampling that utilizes some form of random selection. See: http://www.socialresearchmethods.net/kb/sampprob.php The simple random sample is an assumption when the chi-square distribution is used as the sampling distribution of the calculated variance (s^2). The second assumption is that the particular variable is normally distributed. It may not be in the sample, but it is assumed that the variable is normally distributed in the population. For a very good discussion of the chi-square test, see: http://en.wikipedia.org/wiki/Pearson%27s_chi-square_test
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A chi square probability of 0.05 means what?
If your chi square test has a probability of 0.05 or less it is likely, but not certain, that your hypothesis is not correct.
What is the meaning of hypothesis in statistics?
A hypothesis is the first step in running a statistical test (t-test, chi-square test, etc.) A NULL HYPOTHESIS is the probability that what you are testing does NOT occur. An ALTERNATIVE HYPOTHESIS is the probability that what you are testing DOES occur.
What is the meaning of Sampling distribution of the test statistic?
Given any sample size there are many samples of that size that can be drawn from the population. In the population is N and the sample size in n, then there are NCn, but remember that the population can be infinite. A test statistic is a value that is calculated from only the observations in a sample (no unknown parameters are estimated). The value of the test statistic will change from sample to sample. The sampling distribution of a test statistic is the probability distribution function for all the values that the test statistic can take across all possible samples.
What is the probability that a paternity test will be correct?
As part of a paternity test it includes a probability value to determine the probability that the man in question is biological father or not. If the probability value is 99.99% and the mother, child and man in question have all been tested then the man is the father. If it is less than that then the man is not the father. It is impossible to get a probability value of 100% unless every man in the world were tested. As it stands a paternity test is as accurate as its probability value. Therefore a paternity test with a probability value of 99.99% has a 99.99% chance of being correct. A paternity test is very accurate and does a great job of showing a childs genetic parents. The test is 99.9% accurate.
How is the power of a statistical test defined?
The power of a statistical test is defined as being a probability that a test will product a result that is significantly different. It can be defined as equaling the probability of rejecting the null hypothesis.
