When producing computer monitors at the Daihatsu factory, there is a probability of p% that a monitor will be defective. To estimate the proportion of defective screens, 2300 independent screens from the production are examined. It turns out that of these, 359 are defective.

a)

Determine a point estimate for the proportion of defective screens in production.

Round your answer to 3 decimal places.

b)

Find a (approximately) 95% confidence interval for the proportion p.

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Round your answer to 3 decimal places.

c)

Find a (approximately) 99% confidence interval for the proportion p.

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Round your answer to 3 decimal places.