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1 of 8 0-day streak

Approximate confidence intervals for a population proportion

Question 1 of 8

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A test records whether each device meets the stated standard

The recorded outcomes are summarised below

The recorded result occurs 72 times in a sample of 144

The sample was selected randomly

Let \(p\) be the population proportion with the recorded result

Use an approximate two-sided confidence interval with confidence level \(95\%\)

Assume that the population is large enough for the approximate method

(a)1 mark

Select the calculation for the estimated margin of error

(b)1 mark

Find the margin of error to 4 decimal places

Format: 4 d.p.
(c)2 marks

Find the lower and upper endpoints to 4 decimal places