4. You are studying the association between the presence of house cats and the occurrence of bubonic plague among households in England during the late Middle Ages in Europe. You discover a historical document from an emerging young scholar at the time who hypothesized that house cats could encourage supernatural forces that would result in the spread of the disease. In this document you read that this scholar investigated this hypothesis by recording the number households in a district of London that fell into one of the following categories: (1) had at least one person succumb to bubonic plague and the presence of at least one house cat; (2) had no persons infected with bubonic plague but did have at least one house cat; (3) did not have a house eat but did have at least one person succumb to bubonic plague; and (4) had neither a cat nor a person infected with bubonic plague: Test to see if the occurrences of these two variables (presence of house cats and bubonic plague) are associated. Be sure to show all your calculations, explicitly write your hypotheses, and assume an alpha = 0.05