6 3 Stewart is planning a survey of 85 randomly sampled business leaders in his industry. He believes that most business leaders in his industry would support their business adopting a four‑day working week. Stewart decides to include in his survey the question: Would you support your business adopting a four-day working week? Yes No (a) Making any necessary assumptions, state a probability distribution that Stewart could use to model the number of yes responses. (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Stewart wants to conduct a hypothesis test to investigate his belief. (b) For Stewart’s hypothesis test, (i) state the hypotheses that he should use, (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (ii) find the critical region. (2) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________