Statistics › Section I · Hypothesis testing with one sample › Topic I.3

Picking the distribution for a test

Once the hypotheses are written, a test needs the right curve to judge the data against: normal or t for a mean, normal for a proportion. What is known about the population decides which.

In this topic

  • The test's measuring stick
  • The test statistic: distance in standard errors
  • Known sigma: the standard normal
  • Unknown sigma: the t distribution
  • Proportions: normal with the null's p
  • The recipe, one line
  • Conditions travel with the curve
  • Worked example: the cereal statistic
  • Worked example: the poll's statistic
  • Common mistakes to avoid
  • Key takeaways

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