Turn over 7 Question 3 continued (c) State the probability of a Type I error in the hypothesis test described in (b). (1) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Debra believes that two‑thirds of business leaders in Stewart’s industry would support their business adopting a four‑day working week. (d) Assuming that Debra’s belief is correct, calculate the power of the hypothesis test described in (b). (3) _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ (Total for Question 3 is 8 marks)