A researcher wants to know if elderly people who own dogs are equally as likely to pay visits to their doctors than those who do not own dogs. The researcher obtained a sample of 5 elderly dog owners and 7 elderly people who do not own dogs. The number of visits to the doctor was recorded for each person for a year. The data are as follows:
Own a dog: 8 5 9 4 6
Do not own a dog: 12 10 6 9 15 10 8
Based on this data, answer the researcher's question. Be certain to clearly specify the statistical test you used in answering this question, and show all of the computations you used in answering this question.