Chapter 10: Hypothesis Testing & Type I and Type II Errors. Flashcards
What letter and number do we use for a null hypothesis?
H0.
What letter and number do we use for an alternative hypothesis?
H1.
What are the hypotheses we use for a 1-tail hypothesis test?
H0: λ = a.
H1: λ </> a.
What are the hypotheses we use for a 2-tail hypothesis test?
H0: λ = a.
H1: λ ≠ a.
What do we do to the significance level for a 1-tail test?
Nothing. (e.g. 10% = 0.1).
What do we do to the significance level for a 2-tail test?
We half it. (e.g. 10% = 0.1/2 = 0.05).
What happens to X~Po(λ) when we have a sample size?
We must multiply the value of λ by the sample size. (e.g. in a sample size of 5, X~Po(λ) –> X~Po(5λ).
After finding xInvP, what do we have to do to each value given in the warning?
Check them in Pcd with Lower 0 and the values given as the upper, with lambda the same to give us p-values.
How do we know which critical value to choose?
We choose the critical value which gives us a p-value that lies inside the critical region (it is lower than the significance level).
How do we work out the test statistic?
By multiplying the average rate by our sample size.
Do we Accept or Reject H0 if our Test Statistic is inside the critical region?
Reject H0.
Do we Accept or Reject H0 if our Test Statistic is outside the critical region?
Accept H0.
What saying is there to remember whether or not to Accept/Reject H0?
“If the probability is low, reject H0 (zero).”
What is the conclusion if we Accept H0?
“There is insufficient evidence to suggest that…”
(Opposite of what you would think).
What is the conclusion if we Reject H0?
“There is sufficient evidence to suggest that…”
(Opposite of what you would think).
