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: Jessica
Jessica is 15 years old and 66.41 in. tall For 15 year old girls, = 63.8, = 2.66
z = (X - ) = (66.41- 63.8) = 0.98
2.66
CDC Example: Jessica
1. Percentile: How many 15 year old girls are shorter than Jessica?
50% + 33.65% = 83.65%
CDC Example: Jessica
2. What percentage of 15 year old girls are taller than Jessica?
50% - 33.65% OR 100% - 83.65% = 16.35%
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