Completing all six steps of hypothesis testing for a chi-square goodness-of-fit test.

Dr. Constantinople, a cancer physician, wondered whether wearing a hat protected one against skin cancer. From prior research, she knew that about 1% of adults develop skin cancer every year. She obtained a random sample of 2,040 adults who wore hats and followed them for a year. During that year, 14 developed skin cancer and 2,026 did not. Use hypothesis testing to determine if wearing a hat is associated with a change in the risk of developing skin cancer.