## Comment: Statistics analysis (Score 1) 243

Basic stats Margin of Error for 95% confidence on the first stat is plus-or-minus 12.2%

Same confidence is plus or minus 12.4% on the second.

.23*47 = 10.81 at least 10 successes and failures expected (just barely)

.3*54 = 16.2 at least 10 successes or failures

Randomness of the sample is unknown. This could be a problem.

We have less than 10% of the population so we don't have to worry about a sample that's too large.

Conclusion: if the sampling method is reasonably random then assuming a normal model is reasonably valid.

Unfortunately both values are within .57 standard deviations of eachother. There is a very good chance with sample sizes this small that both are recording the same population parameter with different sampling errors. Larger sample sizes would reduce the standard deviation (proportional to inverse square root of number of sample) and make it easier to say that there was a definitive difference between the two.

Same confidence is plus or minus 12.4% on the second.

Randomness of the sample is unknown. This could be a problem.

We have less than 10% of the population so we don't have to worry about a sample that's too large.

Conclusion: if the sampling method is reasonably random then assuming a normal model is reasonably valid.

Unfortunately both values are within