The first thing I would ask, is do you know how to calculate the P-Value by hand?
We are going to assume that the population proportion is normally distributed, and we use a Z-chart to find our P-Value. If our P-Value is less than our SIGNIFICANCE level, then we reject our null hypothesis; otherwise we fail to reject our null hypothesis.
Our P-Value is the probability that the sample of blacks we ask, are going to yield us a value of 0.34 by CHANCE. This is why you want a SMALL P-Value, as a P-Value of say - 0.11 is probably not the percent of chance you want (of course this all depends on the parameters of what we are testing).
Remember, the P-Value is not the probability of success/non-success of our null-hypothesis. P-Values are a tough-nut to wrap your head around. Check this link out for a little help.That it is unlikely to observe a poll of 28% Americans to claim they couldn't afford insurance