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3.5 FSMQ Hypothesis Testing (9994)

Hypothesis Testing (9994)

  You should learn: Including:
Binomial Distribution
  • Multiplication law for probabilities of independent events
 
 
  • Addition law for probabilities of exclusive events
 
 
  • Tree Diagram
  • For independent events only
 
  • Binomial probabilities
  • notation
 
  • Normal approximations and the standard normal distribution.
  • Use of normal distribution tables
Sampling
  • Sampling from a parent population
 
 
  • Precision and sample size
  • The knowledge that improving accuracy by removing bias and increasing sample size can cost both time and money
 
  • Distribution of the sample mean and sample proportion from a normal population
  • Confidence intervals
Hypothesis Testing
  • The null and alternative hypotheses
 
 
  • One-tail and two-tail tests
  • With reference to the binomial and normal distributions only.
 
  • Significance level and critical region
 
 
  • Specific tests to include
 
  Opinion Polls  
  Food Tasting
  • Triangle test and pairs-difference test
  Clinical Trials
  • Placebo and double-blind trials
Non-Parametric Tests
  • The sign test
 
 
  • The Mann-Whitney U test