Question

Suppose you are interested in testing whether teh mean earning of women in your radom sample of women in nC is representative of the earning of the entire NC female population. The avergae female in the sample earned 31,607 in 2005, and the average female in nC population earned 33,405 in 2005. State the null and research hypothesis.

Answer 1

The null hypothesis states that the mean earnings of the sample are the same as the population, while the alternative hypothesis asserts a difference. Rejecting the null hypothesis would mean the sample mean is not representative of the population mean.

Step-by-step explanation:

The question involves testing whether the mean earnings of a sample of women in NC are representative of the mean earnings of the entire NC female population. The null hypothesis (H0) would state that there is no difference in the mean earnings between the sample and the population, i.e., that the sample is representative. Therefore, H0: μ = $33,405.

The alternative hypothesis (Ha) is that there is a difference in mean earnings, so Ha: μ ≠ $33,405. If the decision is to reject the null hypothesis, it would be because the calculated p-value from a statistical test is less than the alpha level of 0.05, indicating that the difference in mean earnings is statistically significant at the 5 percent level, and the sample mean is not representative of the population mean.