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Two means of small samples (n<30) – first we test if the standard deviations are the same so we can decide which t calculation to use.
Then we can do the hypothesis test to compare the means. In this case, the standard deviations were the same so we used the longer t formula with more degrees of freedom (n1+n2-2).
Two means of small dependent samples – we can find differences of pairs, and compute an average difference which might  be zero, positive or negative.
Example continued
Two proportions – requires a “weighted estimate of population proportion” using both sample proportions, in order to compute a standard error for the sampling distribution.
Proportion example. Sorry this is so out of focus.
Example continued

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  • 1. Two means of small samples (n<30) – first we test if the standard deviations are the same so we can decide which t calculation to use.
  • 2. Then we can do the hypothesis test to compare the means. In this case, the standard deviations were the same so we used the longer t formula with more degrees of freedom (n1+n2-2).
  • 3. Two means of small dependent samples – we can find differences of pairs, and compute an average difference which might be zero, positive or negative.
  • 5. Two proportions – requires a “weighted estimate of population proportion” using both sample proportions, in order to compute a standard error for the sampling distribution.
  • 6. Proportion example. Sorry this is so out of focus.