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Terms in this set (16)
The starting belief whenever doing a statistical test. There are only two options here.
Reject the Null Hypothesis
What does this mean in context of the court room trial? We would reject that the person is not guilty. We reject the null hypothesis when there is evidence for the alternative.
Fail to Reject the null hypothesis
"I do not reject the null"
P-values are probabilities
Probability- they will between 0 and 1
Our results- Our results will come from the sample.This means we will be testing a sample mean, sample proportion, and sample difference between two ranges
The null is true
This is what I assumed. We will start with the null as our assumption and then see how probable our results are
A high p-value
a p-value that is high will have us "fail to reject the null" this basically means
How do we find the P-value?
Greater than (>)- the test shades to the right our sample value
Less than test (<)- the test shades to the left of our sample
Does not equal test - this test shades beyond our value and a value just as extreme on the curve. Think of it as doing a mirror reflection.
the probability of our results or results more extreme occurring by random chance variation, given the null is true
When to reject the null?
When the p-value is below the threshold (often 0.05)`
When to fail to reject the null?
When the p-value is at or above the threshold (often 0.05)
The Four Steps
Step 1- Write the null and alternative
H0:parameter= hypothesized value
Ha: parameter does not equal to hypothesized value
Ha: parameter is greater than hypothesize value
Ha: parameter is less than hypthesized value
We won't always be testing the true mean which is μ. Sometimes we will test the true proportion, what symbol is used to test this value?
One proportion test
is used to test the sample proportion found one group against a hypothesize d
When the p-value is low
reject the null
When the p-value is high
just let it fly
Two- Tailed test
The two tailed test is related to the confidence interval with 1- alpha level. Basically the confidence interval and alpha level are complements
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