Study conclusions

1. Study conclusions

In the calculations on the NHANES data, the observed statistic was consistent with the null statistics.

2. Significance

That is, 212 of the 1000 permutations were smaller than the original value. There is no evidence that the data are inconsistent with the null hypothesis. That is, if gender played no role in home ownership, we would be likely to get data similar to those observed. However, this does not mean that we know for sure the gender doesn't play a role. It is possible that the true difference in homeownership rates is 0 (point) 1, and surely our data would be consistent with that population as well. The logic of inference allows us only to reject null claims. The process does not allow us to have certainty in the null hypothesis being true.

3. NHANES: random sample

Note that the NHANES data is thought to be a good representative sample of the US population. That means the conclusions from the NHANES data can be applied to the larger US population. But unfortunately, here there is nothing to report; the conclusion was that there was an inability to reject the null hypothesis. So, in this case, there is no claim that can be generalized to a larger population.

4. Let's practice!

OK, now that we've covered the basics, let's move on to completing a full hypothesis test on actual data.

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