Final answer:
The null hypothesis is that the mean earnings for women in the random sample are representative of the earnings of the entire North Carolina female population. The research hypothesis is that they are not representative.
Step-by-step explanation:
The null hypothesis states that there is no difference between the mean earnings for women in the random sample and the mean earnings of the entire North Carolina female population. The research hypothesis, on the other hand, suggests that there is a significant difference between the two means.
So, in this case,
- The null hypothesis (H0) would be: The mean earnings for women in the random sample are representative of the earnings of the entire North Carolina female population.
- The research hypothesis (Ha) would be: The mean earnings for women in the random sample are not representative of the earnings of the entire North Carolina female population.