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STT 200 Conditions
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Terms in this set (8)
Single Proportion
Independent observations
NP>_ 10 and N(1-P) >_10
Two Proportion CI
Independent observations
CI: 𝑛_1 𝑝 ̂_1, 𝑛_1 (1−𝑝 ̂_1), 𝑛_2 𝑝 ̂_2, and 𝑛_2 (1−𝑝 ̂_2) are all at least 10.
Two Proportion Tests
Independent observations for each sample
2 independent populations
Use pooled proportion to check sample size condition: 𝑛_1 𝑝 ̂, 𝑛_1 (1−𝑝 ̂),𝑛_2 𝑝 ̂, and 𝑛_2 (1−𝑝 ̂ )are all at least 10.
X2 GOF
Independent observations
The expected count for each level of the categorical variable must be at least 5.
There must be at least 3 levels of the categorical variable.
X2 Independence
data must come from a simple random sample
the expected count in each cell of the two-way table must be at least 5.
T Test Conditions
Observations must be independent
Population data must be nearly normal OR large enough sample size
Paired T test
Observations must be independent
Population differences must be nearly normal or sample size is large enough
Two Sample t
Simple random samples
Populations not related
Both population data distributions are nearly normal, or n_1≥30 and n_2≥30
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