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STA CHAPTER 3
| Question | Answer |
|---|---|
| Parameter (p) | A number that describes the population Data collected from the entire population -Usually unknowns!! |
| Statistic (p hat) | A number that describes a sample Data collected from a sample of the entire population -Used to estimate the paramter |
| In planning a sample survey, first aim for ______ by using random sampling and avoiding bad sampling methods such as voluntary response. Next, choose a large enough random sample to reduce ______ of the results. | BIAS VARIABILITY |
| Using a large random sample guarantees that | almost all samples will give accurate results |
| Why is variability bad? | Because it reduces the PRECISION of estimates, lowers statistical POWER (high variation= difficult to detect genuine differences between groups) and makes predictions less RELIABLE |
| Variability describes | how the values of the sample statistic will vary when we take many samples |
| Bias | Over- or under- estimates the population paramater |
| Margin of error | If we took many samples using the same method we used to get this one sample, 95% of the samples would give a result within plus or minus x% points of the truth about the population |
| How we state margin of error | "We are 95% confident that the truth lies within the margin of error" |
| How to find margin of error | 1/ the square root of the sample size |
| A confidence statement has two parts | 1. Margin of error 2. Level of confidence |
| How to state a confidence interval | "We are 95% confident that between x% and x% of likely voters in x place would vote for x person |
| Taking a larger sample can never | fix biased sampling methods Like if you take in 10,000 convenient samples over only 100, it won't make a difference |