Conditions and Hypotheses

One Prop Z-Test Conditions

np = sample(proportion) > 10; nq = sample(1-proportion) > 10

One Prop Z-Test Hypothesis

Ho: p = proportion; Ha: p < or > proportion

Two Prop Z-Test Conditions

n1p1, n1q1, n2p2, n2q2 > 10

Two Prop Z-Test Hypothesis

Ho: p1 - p2 = 0; Ha: p1 - p2 doesn’t = 0

Matched Pair T-test Conditions

n > 30, nearly normal

Matched Pair T-test Hypothesis

Ho: difference of means (udiff) = 0; Ha: udiff < or > 0

Chi-square GOF Conditions

all expected counts > 5

Chi-square GOF Hypothesis

Ho: the claimed distribution is correct; Ha: the claimed distribution is incorrect

Chi-square Test of Homogeneity Conditions

all expected counts > 5

Chi-square Test of Homogeneity Hypothesis

Ho: variables are independent; Ha: variables are dependent

Linear Regression T-Test Conditions

relationship between x and y are relatively linear; x and y have no major outliers, roughly normal; no pattern in residuals

Linear Regression T-Test Hypothesis

Ho: no significant linear relationship, B = 0; Ha: significant linear relationship, B doesn’t = 0

One Sample T-Test Conditions

n > 30, nearly normal

One Sample T-Test Hypothesis

Ho: u = expected mean; Ha: u < or > expected mean