In Relief from Arthritis published by Thorsons Publishers, Ltd., John E. Croft claims that over 40% of those who suffer from osteoarthritis receive measurable relief from an ingredient produced by a particular species of mussel found off the coast of New Zealand. To test this claim, the mussel extract is to be given to a group of 7 osteoarthritic patients. If 3 or more of the patients receive relief, we shall not reject the null hypothesis that p = 0.4; otherwise, we shall conclude that p < 0.4. (a) Evaluate , assuming that p = 0.4. (b) Evaluate for the alternative p = 0.3.

Tuesday, March 14 • Example 4: Travel Suppose we are trying to estimate the proportion of Georgians that have traveled outside the US. We randomly sample 320 Georgians and 88 sa y that they have traveled abroad. a. Check conditions to create a confidence interval. Random sample; np-‐‑hat > 15 & nq-‐‑hat > 15 b. Based on this sample, calculate the 95% confidence interval for the population proportion of all Georgia