1.) Please complete the "testing hypotheses with an interval" problem (context = a media report about bullying behavior) provided in class or below.
- Check out the red bullets in the image below--this is what I'm looking for in your answer to #3
- If you're having trouble deciding whether to reject or fail to reject the null based on your interval, first try to interpret the interval...
- What does your interval mean?
- "We are ____% confident that the true ______________ falls between ____ and _____ based on this sample of ____."
- Now, based on that interpretation, do you think you should reject or fail to reject the null? Why?
- Think: what were you trying to prove in this context?
2.) Tomorrow we will start class with our chapter 20 vocab quiz! Here's what to study...
- Hypothesis Test (what do we use it for?--to see if a parameter has increased, decreased, or changed)
- Confidence Interval (what do we use it for?--to estimate the value of a population parameter)
- Sampling Variability
- Null Hypothesis
- Alternative Hypothesis
- Conditions: know how to check each, why we check each (from last vocab quiz), and which condition differs for an interval/test
- Standardized Test Statistic
- PValue
- Standard Error v. Standard Deviation
- Statistic
- Parameter
- Alpha Level/Significance Level
- Know how to write conclusions:
- When do we reject Ho (based on alpha level, p-value)?
- When do we fail to reject Ho (based on alpha level, p-value)?
- When do we say "there IS evidence of the Ha?".
- When do we say "there IS NOT evidence of the Ha?"
- Chapter 19 Vocab (that might be on this quiz)....
- Critical Value
- Point Estimate
- Interpret Confidence LEVEL v. Interpret Confidence INTERVAL
- Why do we check each condition?
- Randomization: to assume our sample represents the population
- 10%: to assume independence within our sample
- This means we want to assume that one person's response or one data value is not related to another
- Success/Failure: to make sure our sample is large enough
Today's Class Recap:
- Stamp = Understanding P-Values (like yesterday's packet)
- HW Questions + Connect to PValues
- Ch. 21 Notes:
- Types of Error (Type I and Type II Errors)
- Described what types of errors we could make using a trial context and/or using a "medical testing" context
- Looked at what alpha levels correspond to what p-values, based on whether we conduct a one or two sided test
And don't forget, we have a unit test on everything confidence intervals and hypothesis tests (that we've learned so far) on Monday 3/18!
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