Question

An adoption agency compared the cost of the adopting babies from China and Russia (for people living in the US). The average cost of adopting a baby from China was $11,045 with a sample standard deviation of $535. The average cost of adopting a baby from Russia was $10,800 with a sample standard deviation of $550. These data were gathered from two samples of 30 each. Assume the variances of the two samples are UNEQUAL. (1 pt.) Write out Ho and Ha to test if the average costs are different for the two countries. (1 pt.) calculate the p-value and attach your output sheet printout. (1 pt.) Can we reject Ho at the 95% confidence level? . Can we be 95% confident that costs of adoption are different for the two countries?

Answer 1

Solution:

a. The null and alternative hypotheses are:

b. The p-value is:

c. No, we fail to reject the null hypothesis at 95% confidence level because the p-value is greater than the significance level 0.05

Therefore, we can not be 95% confident that the costs of adoption are different for the two countries.