Question: Answer this question using the following information: P(0 Answer this question using the following information: < z < 1.68) = 0.4535 < z < 2.12)

Answer this question using the following information: < z < 1.68) =

Answer this question using the following information: P(0

Answer this question using the following information: < z < 1.68) = 0.4535 < z < 2.12) = 0.4830, where Z is the standard normal random variable. (a) (b) (c) A survey of 300 randomly selected customers of Company A found that (3 x 5 + 195) of them are satisfied with the service provided by the company. Find the best point estimate of the proportion of customers of Company A who are satisfied with the service provided by the company. Correct your answers to 2 decimal places. (4 marks) Find the 96.6% confidence interval of the true proportion of customers who are satisfied with the (ii) service provided by Company A. Correct your answers to 2 decimal places. (8 marks) The CEO ofa large company wishes to estimate, with 96.6% confidence, the true proportion of employees of the company favouring a proposed flexible work policy. A previous study shows that 75% of the employees interviewed favoured the proposed policy. The CEO wishes to be accurate within (5 + 90/0 of the true proportion. Find the minimum sample size required. (4 marks) The CEO in (b) has now moved to a new company and proposed the same policy there. There is no time to conduct a preliminary study. Find the minimum sample size required if the CEO wishes to be accurate within (5 + -90/0 of the true proportion with a confidence of 90.7%. (4 marks)

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