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Testing a Hypothesis - Coggle Diagram
Testing a Hypothesis
Null hypothesis and level of signification
Null Hypothesis
p1 = probability of positive outcome for operative group
p0 = probability of positive outcome for non-operative gruop
If H0 is true, the sampling distribution will be normal
Level of signification
Alpha represents the rejection region willing to be accepted
Probability of a type I error
Critical value
Start of the rejection region
Confidence Interval
Constructed around the test statistic
Represents the proportion that contains the true population difference
Significant Treatment Difference
Prove with a certain number of samples to test the true difference
Contains the whole range of values and also the proportion of the confidence interval
Power and Sample Size
H0 is true
True negative: do not reject H0
False positive: reject H0 (type I error)
H0 is false
False negative: do not reject H0 (type II error)
True positive: reject H0 (power)
Power: probability of rejecting a false H0
Test Statistic
Scaled version of the sampling distribution
Critical Value
Helps to accept of reject H0
P-Value
Proportion of repeated samples under H0
If p < a there is enough evidence to reject H0
If p > a there is not enough evidence to reject H0