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May
Two Tailed Null Hypothesis. The null hypothesis is always the hypothesis that is tested. Generally there are two types of hypothesis. If the data supports the alternative hypothesis we reject the null hypothesis and accept the alternative hypothesis. Mean does not equal 30 Significance Level alpha 005 Number of Samples n 17 Degrees of Freedom df n-1 17-1 16 Sample Mean Xbar 333 Sample Standard Deviation s 80 Critical Region of the t-Distribution.
Then the null hypothesis of the two-tailed test is to be rejected if z z α 2 or z z α 2. Mean 30 Alternative Hypothesis Ha. One is that the null hypothesis is rejected and the alternative hypothesis is accepted. So if the alternate hypothesis is written with a sign that means that we are going to perform a 2-tailed test because chances are it could be more than 100 or less than 100 which makes it 2-tailed. The test of such a hypothesis is nondirectional or twotailed because an extreme test statistic in either tail of the distribution positive or negative will lead to the rejection of the null hypothesis of no difference. μ μ 0 known as two sided hypothesis test.
So after stating the Null and Alternative hypothesis its time to move to step-2 which is.
The null hypothesis is a characteristic arithmetic theory suggesting that no statistical relationship and significance exists in a set of given single observed variables between two sets of observed data and measured phenomena. Null Hypothesis H0. To determine the value needed to reject the Null Hypothesis we need to refer to a table see below. One is a null hypothesisand another is an alternative hypothesis. In this table we will focus on two-tailed values and on a significance level of 005 ie. Where μ 0 is a hypothesized value of the true population mean μ.