Test Conditions Null Hypothesis Test Statistic Confidence Interval One Proportion 1.) SRS 1 Proportion Z Test 1 Proportion Z Interval z-test 2. ) : pop > 10 times sample 3. ) Normality Note: the condition for CI is 1.) SRS 2 Proportion Z Test 2 Proportion Z Interval Two Proportion z-test 2. ) : pop > 10 times or sample Note: 3. ) Normality Chi Square 1) SRS or data is from an GOF χ2 entire population. The sample is a Goodness of Fit H0: Test 2) all expected counts are good fit to the stated df=# of categories - 1 distribution ≥5 Chi Square test 1) SRS or data is from an : there is no association Two-way χ2 entire population. between the variables for independence 2)all expected counts 5 (independent) df= (# rows 1)(# ≥ – columns 1) – Linear Regression T t-test for the 1.) y responses are Linear Regression T Test independent. slope of a linear Interval regression 2.) y responses are normal. Degrees of freedom = equation 3.) standard deviation about the regression line remains constant. 4.) variables are linearly related
Test Conditions Null Hypothesis Test Statistic Confidence Interval One Proportion z-test 1.) SRS 2. ) : pop > 10 times sample 3. ) Normality 1 Proportion Z Test 1 Proportion Z Interval Note: the condition for CI is Two Proportion z-test 1.) SRS 2. ) : pop > 10 times sample 3. ) Normality or 2 Proportion Z Test Note: 2 Proportion Z Interval Chi Square Goodness of Fit Test 1) SRS or data is from an entire population. 2) all expected counts are ≥5 H0: The sample is a good fit to the stated distribution χ2 GOF df=# of categories - 1 Chi Square test for independence 1) SRS or data is from an entire population. 2)all expected counts ≥ 5 : there is no association between the variables (independent) χ2 Two-way df= (# rows – 1)(# columns – 1) t-test for the slope of a linear regression equation 1.) y responses are independent. 2.) y responses are normal. 3.) standard deviation about the regression line remains constant. 4.) variables are linearly related Linear Regression T Test Degrees of freedom = Linear Regression T Interval
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