The following pose conceptual hypothesis test situations. For each situation define H0 and H1 so as to provide control of the more serious error. Justify your choice and comment on logical values for α.
(a) You are deciding whether you should take an umbrella to work.
(b) You are planning a proficiency testing procedure to determine whether some employees should be fired.
(c) Same as part (b) except you want to determine whether some employees deserve a special merit raise.
(d) A cigarette manufacturer is conducting a test of nicotine content in order to justify a new advertising claim.
(e) You are considering the procedure to decide guilt or innocence in a court of law.
(f) You are wondering whether you should buy a new battery for your calculator before the next statistics test.
(g) As a university administrator you are considering a policy to restrict student driving in order to improve scholastic.