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Means Tests Hypothesis Testing Assumptions Testing (Normality)

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Presentation on theme: "Means Tests Hypothesis Testing Assumptions Testing (Normality)"— Presentation transcript:

1 Means Tests Hypothesis Testing Assumptions Testing (Normality)

2 Normality Tests Many Statistical Tests require normal data You must verify normality with a test

3 Testing for Normality How do we test for normality? Compute the linear correlation coefficient between the sample data and normal scores

4 H 0 : (null hypothesis): data normally distributed H a : (alternative hypothesis): Data not normal Hypothesis Testing Normality Test

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6 Hypothesis Testing Normality Test Test Statistic P-value Critical Value (Alpha ɑ) = ??

7 How to we use p? Compare p-value from test to specified significance level (alpha, α=0.05) If the p-value is less than or equal to α=0.05, reject the null hypothesis, Otherwise, do not reject (fail to) the null hypothesis

8 Hypothesis Testing Normality Test P-value: <0.01 Alpha (ɑ) = 0.05 Since p is < ɑ Reject the null hypothesis

9 Since we reject the null hypothesis H 0 : (null hypothesis): data normally distributed We accept the alternative hypothesis H a : (alternative hypothesis): Data not normal …and determine that data are not normally distributed Hypothesis Testing Normality Test


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