A study was conducted to determine whether geographic variations in the use of medical and surgical devices could by explained in part by differences in the appropriateness with which physicians use these services. One concern might be that a high rate of inappropriate use of a service is associated with high overall use within a particular region. For the procedure coronary angiography, three geographic areas were studied: a high use site (Site 1), a low-use urban site (Site 2) and a low-use rural site (Site 3). Within each geographical region each use of this procedure was classified as appropriate, equivocal or inappropriate by a panel of expert physicians. These data are saved in a data set called angio. Site number is saved under the variable name site and level of appropriateness under appropro. Use R statistical software and show equations.

site appropro 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 appropr 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 equiv 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 1 inappro 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 appropr 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 equiv 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 2 inappro 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 appropr 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 equiv 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 3 inappro 

a. At the 0.05 level of significance, test the null hypothesis that there is no association between geographic region and the appropriateness of coronary angiography.

b. b. What do you conclude?