A random sample of 400 houses in a certain suburb yielded 160 of which contained a fax machine Establish a 90% confidence interval for the true proportion of houses this which contain fax machines. Use the following template to answer this question

I.What is the parameter of interest? (0.5 mark)

II.What is the point estimator? (0.5 mark))

III. What is the associated sampling distribution (how do you know this?), (1 mark))

IV. Specify the formula for the 90% confidence interval estimator for the parameter. (1 mark) V. Perform the necessary calculations and write down the lower and upper limits of the 90% confidence interval (5 marks)

VI. Interpret the calculated confidence interval (2 marks)