Week 8 Hypothesis Testing

Question 1

what 3 things are needed to conduct a hypothesis test

Answer 1

the assertion that some hypothesis is true
a numerical test that can be applied to the data
a hypothesis test that can be accepted or rejected depending on the outcome of the test

Question 2

what is a simple hypothesis

Answer 2

hypothesis that defines the probability distribution completely

Question 3

what is a composite hypothesis

Answer 3

hypothesis that combines several probability distribution functions

Question 4

what is a type I error

Answer 4

hypothesis is true but the decision is to reject it

Question 5

what is a type II error

Answer 5

hypothesis is false but the decision is to accept it

Question 6

define significance

Answer 6

the rate at which type I errors occur

Question 7

what is the significance equation

Answer 7

α >= ∫Ph(x) dx

Ph(x) is the probability distribution function of the hypothesis

Question 8

what can be said about the significance for composite and discrete distributions

Answer 8

we use the probability distribution of the function that maximises significance

Question 9

what is the power of a test equation

Answer 9

1 - β = ∫ Pa(x) dx

Pa(x) is the probability distribution of the alternative hypothesis

Question 10

what is the general guiding principle for significance and power

Answer 10

we want to minimise the significance and maximise the power