Type 1 error?
p value for 2 sided test
p value for 1 sided test
For null hypothesis composite α?
Probability of type 1 error
Rejection or critical region?
Importance of distinction of type 1 and 2 errors
Since null hypothesis is true until proven wrong. We place more weight in avoiding type 1 errors
Neyman Pearson lemma
Prove Neyman Pearson lemma
Uniformly most powerful test
Likelihood ratio test
Apply CLT to testing unknown probability p for n independent trials