On your way to a trailhead for a hike in bear country, a well-meaning logger tells you that 50 % of fatal black bear attacks are perpetrated by mother bears defending their cubs, and all other attacks are more or less random (equally likely to be lone females or males). Being a naturally skeptical, curious, and resourceful person, you dig up some data on fatal black bear attacks in North America since 1900, and tally the results as follows: Type of Black Number of Documented Attacks Bear Male Female Female with Cubs 55 3 5 Create a vector of the bear attack data by entering the data manually: attacks (d) Calculate and present the test statistic for running the test on this data (4 pts) (e) Test the null hypothesis associated with this test at a significance level a = 0.01, stating the result of the test and relevant test values (4 pts) (f) Given the result you found in (e), provide a written interpretation of whether the initial claim was supported or denied by the data (3 pts)