STATISTICS

• Statistical Hypothesis- a claim or assertion concerning one or more populations.
• Null Hypothesis – denoted by Ho, this is the hypothesis being tested. This is a statement that usually. shows no difference between a parameter of interest and an expected value, no difference between several populations or no relationship between variables.
• Alternative Hypothesis - denoted by Ha, this is the hypothesis proven to be true by providing sufficient evidence to show it is true.
• NULL HYPOTHESIS This hypothesis is assumed to be true until there is evidence to suggest otherwise.
• ALTERNATIVE HYPOTHESIS This is the statement that one wants to conclude. It is also called the research hypothesis.
• ONE TAILED TEST the alternative hypothesis shows only one direction for the other possible values of the parameter of interest.
• TWO TAILED TEST the alternative hypothesis shows two directions for the other possible values of the parameter of interest.
• To reject the null hypothesis when sufficient evidence are presented to show that the alternative hypothesis is true. This decision is more conclusive, since this decision is based on evidence.
• To fail to reject the null hypothesis when there are insufficient evidence to show that the alternative hypothesis is true.
• Type II Error - Failing to Reject the Null Hypothesis when it is False
• Type I Error - Rejecting the Null Hypothesis when it is True