Probability, Stats distributions and hypothesis tests

• Alternate hypothesis

  This tells us about the parameter If your assumption is shown to be wrong H1
• Conditions for binomial

  Fixed trials Two outcomes Fixed probability Trials are independent
• Critical regions

  Closest value to significance level. Region where we would reject
• Independent probability formula

  P(AnB)=P(A) x P(B)
• Less than significance level

  Reject H0
• More than significance level

  Accept H0
• Mutually exclusive

  They both cannot happen at the same time
• Mutually exclusive how to find P(AuB)

  P(A)+P(B)
• Mutually exclusive P(AnB)

  Equals 0
• Null hypothesis

  The hypothesis you assume to be correct H0
• One tailed mean

  Increase or decreases
• Test statistic

  Results from the experiment Eg the number of heads obtained
• Two tailed test

  Change in either direction
• When to use binomial cd

  When it is less than or equal to
• When to use binomial pd

  When it is equals P(X=x)
• P(A')


  Not A

  
• P(A'nB)


  Not A and B

  
• P(AnB)


  A and B

  
• P(A)

  A

  
• P(AuB')


  A or not B

  
• P(AuB)


  A or B

  
• What is a hypothesis test

  A hypothesis test is a statistical test that is used to determine that is used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population
• What is a critical value

  A critical value is the point (or points) on the scale of the test statistic beyond which we reject the null hypothesis.
• What does pmcc measure

  The product moment correlation coefficient measures the type and strength of linear correlation between two variables.
• Explanatory variable

  Independent variable
• Response variable

  Dependant
• How to calculate pmcc on a calculator

  Menu

  6 statistics

  2 y=ax+b

  Optn

  4 regression calculation