Chapter 14.1, Problem 5E

An information-retrieval system has ten storage locations. Information has been stored with the expectation that the long-run proportion of requests for location i is given by p_i = (5.5 − |i − 5.5|)/30. A sample of 200 retrieval requests gave the following frequencies for locations 1–10, respectively: 4, 15, 23, 25, 38, 31, 32, 14, 10, and 8. Use a chi-squared test at significance level .10 to decide whether the data is consistent with the a priori proportions.