Ex St 801 Statistical Methods Part 2 Inference about a Single Population Mean (HYP)

HYPOTHESIS TESTING X _ S 2 STATISTICAL EVIDENCE

STATING THE HYPOTHESES The NULL HYPOTHESIS (H 0 ) Is the statement that is assumed to be true unless sufficient evidence is gathered to reject the hypothesis. The ALTERNATIVE HYPOTHESIS (H 1 ) Is the statement that one wishes to support as being true. This is done by gathering evidence against the null hypothesis.

HYPOTHESES LOWER TAIL UPPER TAIL TWO TAIL

HYPOTHESIS TESTING METHODS STANDARDIZED SCALE P-VALUE 8 steps: LOWER TAIL

PROCEDURE FOR STANDARDIZED SCALE METHOD 1.State the null hypothesis (H 0 ). 2.State the alternative hypothesis (H 1 ) 3.State the TYPE I and II ERRORS. 4.State level of significance (maximum acceptable  ). 5.Determine the rejection region. 6.Compute the test statistic. 7.Compare the test statistic and rejection region, then make a decision. 8.Draw a conclusion.

STANDARDIZED SCALE METHOD S ampling distribution if the null hypothesis is true

PROCEDURE FOR THE P-VALUE METHOD 1.State the null hypothesis (H 0 ). 2.State the alternative hypothesis (H 1 ) 3.State the TYPE I and II ERRORS. 4.State level of significance (maximum acceptable  ). 5.Compute the test statistic. 6.Calculate the p-value. 7.Compare the p-value with the level of significance, then make a decision. 8.Draw a conclusion.

P-VALUE METHOD S ampling distribution if the null hypothesis is true

TEST STATISTIC LARGE SAMPLE SMALL SAMPLE

REJECTION REGION Or P-value LARGE SAMPLE Standard normal distribution SMALL SAMPLE t-distribution with df=n-1

Ex St 801 Statistical Methods END Part 2. Inference about a Single Population Mean (HYP)