For Exercises perform these steps.

a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

In a random sample of 80 Americans,
44 wished that they were rich. In a random sample
of 90 Europeans, 41 wished that they were rich. At
  0.01, is there a difference in the proportions? Find
the 99% confidence interval for the difference of the
two proportions.