Year 11 Maths - Specialist Sampling and Sampling Distributions

Populations and Samples

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Questions

Question 1

58341

In year 12 at a certain school, the population is $240$. The percentage of students that study mathematics is $84\%$. A group of $40$ students were selected at random and $24$ of them studied mathematics.

i) What is the population?
ii) What is the value of the population proportion $p$
iii) What is the value of the sample population $\widehat p$

Answer

i) $240$ ii) $p=0.84$ iii) $0.60$

Worked Solution

$$\begin{aligned}
\text{(i)}\quad &\text{population} =240\\
\text{(iii)}\quad &\text{population proportion}\ p=0.84\\
\text{(iii)}\quad &\text{sample proportion} =\frac{24}{40}=0.60
\end{aligned}$$

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