Remember Your Formulas 1 Proportion: CI = Hypothesis Test: z = 2 Proportion: CI = Hypothesis Test: z = 1 Sample or Matched Pairs t-test CI = Hypothesis Test: t df = 2 Sample t-test: CI: Hypothesis Test: t df =
Remember PANIC for CI’s and PHANTOMS for Hypothesis Tests Parameter Assumption Name Test and Statistics Interval (Include Formula) Conclusion Parameter Hypothesis (p or mu) Assumptions/Conditions Name Test Test Statistics Obtain P (Include formula and distribution) Make Decision (Never accept H o State Conclusion (In Context)
Parameter: P s = Proportion of suburban students that failed AP exam P r = Proportion of rural students that failed AP exam Hypothesis: H o : P s = P r, H a : P s ≠ P r Assumptions: 10%: Both 107 and 143 are less than 10% of rural and suburban students that took AP exam.
Name: 2 Proportion z-test Test Statistics: Obtain P: P =.56 Make Decision: Fail to reject H o State Conclusion:
Parameter: Assumptions: Random: It is a random selection of days during the year. Nearly Normal: The histogram is roughly unimodal and symmetric Independent: Each car’s speed should be independent 10%: 20 cars is less than 10% of all cars that pass through when the sign is flashing Name Test: Interval: Conclusion:
Parameter: U = average # of hours students watch TV per week from Central High Hypothesis: H o : U = 13, H a : U > 13
Assumptions: Nearly Normal: Histogram is roughly unimodal and symmetric. Random: Students were randomly selected Independent: TV watching among students should be independent 10%: 25 students is less than 25% of all students at CHS. Name Test: Test Statistics: Obtain P: Conclusion: