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Year 12 Methods (Unit 3 & 4) Sampling and estimation

Confidence intervals for the population proportion

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Question 1
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At a particular factor it was estimated that the proportion of packets of peanuts packed were underweight. A random selection of 50 bags found that 6 were under weight.

i) Find a point estimate of \(p\), the proportion of packets that are under weight.\\

ii) Calculate the \(95 \%\) confidence level for \(p\). (For \(95 \%, z=1.96\) )

i) \(0.12\)

ii) \((0.03,0.21)\)

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