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The Four Step Process
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The Four Step Process for Proportions
AP Statistics
Period 5
Significance Tests
Confidence Intervals
Interpret your results IN CONTEXT!
Interpret interval IN CONTEXT!
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Since our p-value of .... is (<or>) than 0.05, we (reject or fail to reject) Ho and conclude that......
We are ........% confident that the interval (#,#) captures the TRUE proportion of...........
CONCLUDE
Give your practical conclusion IN CONTEXT!
Example of 1 Proportion Z Test
Significance Tests
Identify the test you want to use and check conditions.
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Z-Test
Conditions:
Random (SRS)
Normal (np>10, n(1-p)>10)
Independent (the sample size must be at least 10% of the population)
Confidence Intervals
Identify the appropriate inference method and check conditions.
DO
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Significance Tests
Carry out calculations and make graphs if needed.
Conditions:
Random (SRS)
Normal (np>10, n(1-p)>10)
Independent (the sample size must be at least 10% of the population)
Perform calculations:
Compute test statistic
Find p-value
PLAN
How will you go about answering it?
What statistical techniques does this problem call for?
Confidence Intervals
Perform calculations
STATE
What's the question you are trying to answer?
Significance Tests
Confidence Intervals
What parameter do you want to estimate?
State hypotheses:
We want to estimate the true proportion of ......... with a ..........% confidence level.
Define your parameter: p=proportion of.....