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Approximate confidence intervals for a population proportion

Question 1 of 8

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A review records whether each ticket includes the required information

Use the following sample record

There are 50 observations that include the required information, out of 100 observations

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

M=\frac{49}{25}\sqrt{\frac{1}{2}(1-\frac{1}{2})/100}

M=\frac{\frac{49}{25}}{2}\sqrt{\frac{1}{2}(1-\frac{1}{2})/100}

M=\frac{49}{25}\sqrt{p(1-p)/100}

M=\frac{49}{25}\left(\frac{1}{2}(1-\frac{1}{2})/100\right)

(b)1 mark

Calculate the margin of error, giving your answer to 3 decimal places

Margin of error

Format: 3 d.p.

Calculate both interval endpoints, giving each to 4 decimal places

Lower endpoint Upper endpoint