Final answer:
The hypothesis test with the test statistic z = 2.22, where the claim is that p > 0.8, is a right-tailed test because the alternative hypothesis seeks to determine if the sample proportion is significantly greater than a specified value.
Step-by-step explanation:
The test statistic of z = 2.22 is used for testing the hypothesis claim that p > 0.8. This situation is indicative of a right-tailed test. In a right-tailed test, the interest is in determining whether the sample proportion is significantly greater than the hypothesized proportion (in this case, 0.8). Here, we are checking for values larger than the mean in the upper (right) end of the normal distribution curve.
Identifying the type of test is based on the nature of the alternative hypothesis (Ha). Since the test is concerned with finding if p is greater than a certain value, it is right-tailed. The z-test value being positive further indicates that we are looking at the right tail of the probability distribution. Moreover, the area for the p-value calculation would exclusively encompass the area to the right of the test statistic on a standard normal distribution curve.