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Math
Statistics
Hypothesis Testing
Analytics Exam 2
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Terms in this set (13)
Confidence Interval Formula
Upper Bound: sample mean + confidence interval decimal
Lower Bound: sample mean - confidence interval decimal
Effect Size Formula
(sample mean - population mean) / standard deviation
Z-Test: scenario STDEV
T-Test: data STDEV
Standard Error Formula
(STDEV) / True Sample Size ^ 0.5
the 4 assumptions for a T-Test
1. dependent variable is scale - ratio or interval (absolute zeros)
2. observations are randomly selected - found in scenario
3. population is normally distributed - 30 or more required for normal distribution
4. we should have a population mean - found in scenario
the 4 assumptions for a Z-Test
1. dependent variable is scale - ratio or interval (absolute zeros)
2. observations are randomly selected - found in scenario
3. population is normally distributed - 30 or more required for normal distribution
4. parameters for 1 population (is there a mean AND a standard deviation provided)
How to determine a 2 tail test from a 1 tail test
2 tail is NOT based on previous research so we do not know what to expect - it could go either way.
1 tail is based on previous research so we do know what to expect - we already know which way it goes.
Hypothesis for a 2 tail test
Null: there is no difference
Research: there is a difference
hypothesis for a 1 tail test (Scenario- "has been shown to increase..."
Null: lower or equal to
Research: higher
hypothesis for a 1 tail test (Scenario- "has been shown to decrease..."
Null: higher or equal to
Research: lower
Do we get the descriptive statistics before or after we double the date
Always BEFORE
The effect size explanation
we would expect that any individual ... will have a .... by .... standard deviation than someone .... This is a .... effect size.
The confidence interval explanation
There is a ....% chance that the true population mean for .... any individual ..... between ... and ....
If you wanted to increase the statistical power for your research study, what would be the best way to increase it?
Increasing the sample size. This is the best choice because we increase power without effecting the alpha and the tails.
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Verified questions
QUESTION
On September 11, 2002, the first anniversary of the terrorist attack on the World Trade Center, the New York State Lottery's daily number came up 9-1-1. An interesting coincidence or a cosmic sign? What is the probability that the winning three numbers match the date on any given day?
QUESTION
For each of the following situations, state whether you'd use a chi-square goodness-of-fit test, a chi-square test of homogeneity, a chi-square test of independence, or some other statistical test: That brokerage firm also wants to know if the type of account affects the size of the account (in dollars). It performs a test to see if the mean size of the account is the same for the three account types.
STATISTICS
Which of the following statements are true? When testing a claim about any population parameter, the P-value method, critical value method, and confidence interval method are all equivalent in the sense that they always yield the same conclusions.
PROBABILITY
A survey of people in a given region showed that 20% were smokers. The probability of death due to lung cancer, given that a person has smoked, was roughly 10 times the probability of death due to lung cancer, given that a person did not smoke. If the probability of death due to lung cancer in the region is .006, what is the probability of death due to lung cancer given that a person is a smoker?
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