Hypothesis testing

• Regression

  Testing for zero correlation

  
  

  $H0:\ p=$$0$

  $H1:\ p\ne0\ OR\ p<0\ OR\ p>0$
• Normal distribution

  Testing value of $\mu$

  $H0:\ \mu=$$a\ \Rightarrow\ X\approx N\left(a,\sigma^2\right)$

  $H1:\ \mu\ \ne a\ OR\ \mu<a\ OR\ \mu>a$
• Binomial distribution

  Testing value of p

  $H0:\ p=$$a\ \Rightarrow\ X\approx B\left(n,\ a\right)$

  $H1:\ p\ \ne a\ OR\ p<a\ OR\ p>a$