p1(2)
Population proportion
n1 (2)
size of sample
x1 (2)
sucess in sample
p̂1 (2)=
x1/n1
q̂1 (2)=
1-p̂1
p̅=
x1+x2/n1+n2
q(bar)
1-p̅
Z for proportions
z=(p̂1-p̂2)-(p1-p2)/✓p̅q(bar)/n1+p̅q(bar)/n2
E for p
E=zα/2✓p̂1q̂1/n1+p̂2q̂2/n2
CI for p
(p̂1-p̂2)-E<(p̂1-p̂2)+E
Independent samples
Sample from one population is not related to another. Use t chart.
Dependent samples
Sample values are paired (before/after, wife/husband) Use (A2).
μ1 (2)
population mean
σ1 (2)
population standard deviation
n1 (2)
sample size
x̄1 (2)
sample mean
s1 (2)
sample standard deviation
df for 2 samples
Smallest of (n1-1) and (n2-1)
E for μ
E=tα/2✓s1^2/n1+s2^2/n2
CI for μ
(x̄1-x̄2)-E<(x̄1-x̄2)+E
t=
(x̄1-x̄2)-(μ1-μ2)/✓s1^2/n1+s2^2/n2