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sampling distribution of a difference between two proportions
Center
Shape
Spread
formula of pooled proportion
Normal condition for difference of proportions
Large counts - the counts of “successes” and “failures” in each sample or group are all at least 10
spread: standard deviation of sampling distribution of difference between two means
10% condition
each sample is no more than 10% of its population
Conditions for performing inference about µ1 - µ2
SRS
Independence
Normal
Independence condition
When sampling without replacement, check that N1 >= 10n1 and N2 >= 10n2
Do not use two-sample t procedures if the graph shows strong skewness or outliers.
True
Significance tests for µ1 – µ2
Ha: µ1 – µ2 > hypothesized value
Ha: µ1 – µ2 < hypothesized value
Ha: µ1 – µ2 ≠ hypothesized value