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Hypothesis Testing with z Tests - University of Michigan

Hypothesis Testing . with Z Tests . Arlo Clark-Foos Review: Standardization Allows us to easily see how one score (or sample). compares with all other scores (or a population). CDC Example: p Jessica Jessica is 15 years old and in. tall For 15 year old girls, = , = z=. ( X ) ( ). = = CDC Example: p Jessica 1. Percentile: How many 15 year old girls are shorter than Jessica? 50% + = CDC Example: p Jessica 2. What percentage of 15 year old girls are taller than Jessica? 50% - OR 100% - = CDC Example: p Jessica 3. What percentage of 15 year old girls are as far from the mean as Jessica (tall or short)? % + = CDC Example: p Manuel Manuel is 15 years old and in. tall For 15 year old boys, = 67, = z=. ( X ) ( 67). = = Consult z table for CDC Example: p Manuel 1. Percentile Negative z, below mean: 50% - = CDC Example: p Manuel 2.

Testin ggyp ( p) Hypotheses (6 Steps) 4. Determine critical values or cutoffs How extreme must our data be to reject the null? Critical Values: Test statistic values beyond which we will reject the null hypothesis (cutoffs) p levels (α): Probabilities used to determine the critical value 5. Calculate test statistic (e.g., z

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