# Question: a researcher is evaluating a hypothesis for americans living in...

###### Question details

A researcher is evaluating a hypothesis for Americans living in rural regions of the United States: that the mean income among black Americans is lower than among white Americans. According to existing research data, white Americans in rural regions have a mean income of

**44,685.** The researcher conducted a simple random sample of **202** black heads-of-households in rural regions and found that their mean income was **40,896** (standard deviation=10,861.77).

The researcher conducted a one-proportion z-test, with an α-level of 0.05. She declared the hypotheses...

H_{0} : p = 44,685

H_{A} : p < 44,685

...and, after calculating a z-test statistic, found a p-value < 0.001. **What was the probability of the researcher committing a type I error?**