QNT 351 Week 4, DQ 4
QNT 351 Week 4, DQ 4
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Date Created: 11/09/15
Qnt 351 Week 4 Dq 4 Week 4 DQ 4 Please explain terms related to hypothesis testing please explain null and alternate hypotheses explain the difference between two different test statistics then define the equations used in both Why do null and alternative hypotheses have to be mutually exclusive Null and alternate hypotheses The null hypothesis is a statement about the value of a population parameter developed for the purpose of testing numerical evidence Lind et a1 2011 Null hypothesis basically means there is no change between the mean and a number It is developed to test whether or not to reject or fail to reject the hypothesis It is not rejected unless sample data provides convincing evidence that it should be rejected If this is rejected it is not to say that the null hypothesis is proven true but that it only is not proven untrue To prove it is true the whole population would have to be tested and for many populations that would be impossible The alternate hypothesis is a statement that is accepted if the sample data provide sufficient evidence that the null hypothesis is false Lind et a1 2011 The alternate hypothesis is only accepted if the sample data provides enough statistical evidence that the null hypothesis is false It is what is accepted when the null is rejected The alternate hypothesis never contains the equal sign The null is the only hypothesis that contains the equal sign The two test statistics are the ztest and the ttest The ztest is used when the population mean and the standard deviation is known The ttest is used when the population standard deviation or population mean is unknown z population mean sample mean population standard deviation divided by square root of number of observations in the sample t sample mean hypothesized population mean sample standard deviation divided by square root of the number of observations in the sample Lind D Marchal W amp Wathen S 2011 Basic statistics for business and economics 7th ed New York NY McGrawHillIrwin
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