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(c) The management of a multinational company wants an estimate of the proportion of the company’s...

(c) The management of a multinational company wants an estimate of the proportion of the company’s employees who would be willing to relocate to a new site. From a random sample of 256 employees, it was found that 96 were willing to relocate.

(i) Find a 90% confidence interval of the true population proportion of employees that would be willing to relocate.

(ii) Interpret this confidence interval.

(iii) Propose two ways of making this confidence interval narrower

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