Hypothesis Testing Steps for Large One-Sample Problems
Step 1 (Words)
Ho: The population (mean/proportion) of _____________________is equal to
_____________________.
Ha: The population (mean/proportion) of _______________________________
is (less than /greater than/ not equal to) ____________________________.
Step 2 (Symbols)
Ho: µ = µo or p = po
Ha: µ < µo or p < po
µ > µo p > po
µ ≠ µo p ≠ po
Step 3 (Test statistic and assumptions) Calculate z* using appropriate formula for mean or proportion.
Step 4 (p-value)
a. Use a z-table.
If Ha: µ < µo or p < po, then the p-value = P(Z < z*)
µ > µo p > po , then the p-value = P(Z > z*)
µ ≠ µo p ≠ po , then the p-value = 2P(Z >z*)
b. There is a ____% chance that the sample (mean/proportion) of ___________is
_______ if the true population (mean/proportion) is ___________.
Step 5 (Statistical decision in symbols)
a. State alpha = _____.
b. If _____ < alpha, reject Ho.
If _____ > alpha, do not reject Ho.
Step 6 (Statistical decision in a statement)
There is (not) sufficient sample evidence to show _________________________ (rewrite Ha).