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8 Cards in this Set

  • Front
  • Back
association
Values of one variable tend to occur with certain values of another variable; detected when the conditional distributions differ from the marginal distribution and from each other.
P-value
- Probability of obtaining a value of the statistic
- The value of the statistic is farther from the claimed parameter value than the observed statistic
- The null hypothesis is assumed to be true.
- probability of getting a test statistic as extreme or more extreme than the value observed assuming H0 is true
- IS NOT PROBABILITY THAT THE NULL HYPOTHESIS IS TRUE.
shape of non-normal sampling distribution of x-bar
- if n is large, shape is apporx. normal
- if n is small, shape is non-normal
reject H-o
A. Results are statistically significant.
B. P-value < α.
C. Conclude Ha is correct.
D. The results are NOT due to chance.
SIMPLE CONDITIONS FOR INFERENCE ABOUT A MEAN
1. We have an SRS from the population of interest. There is no nonresponse or other practical difficulty.

2. The variable we measure has a perfectly Normal distribution N(μ,σ) in the population.

3. We don’t know the population mean μ. But we do know the population standard deviation σ.
CONFIDENCE INTERVAL FOR THE MEAN OF A NORMAL POPULATION
x-bar + or - Z-star times sigma/square root of n
CONFIDENCE INTERVALS: THE FOUR-STEP PROCESS
STATE: What is the practical question that requires estimating a parameter?


FORMULATE: Identify the parameter and choose a level of confidence.

SOLVE: Carry out the work in two phases:

(a)Check the conditions for the interval you plan to use.

(b)Calculate the confidence interval.

CONCLUDE: Return to the practical question to describe your results in this setting.
test statistic (z)
x-bar - mu/sigma over square root of n