Interactive practice questions
A survey was carried out to investigate the number of teachers in Australian schools who like using the chalkboard to teach. This survey found that in a sample of $1222$1222 teachers, $321$321 liked using the chalkboard, while the rest did not.
Calculate the sample proportion of $\hat{p}$^p, of those teachers surveyed who like using the chalkboard.
Write your answer correct to $3$3 decimal places.
Using your answer from part (a), estimate the standard deviation, $\hat{\sigma}$^σ, of the random variable $\hat{P}$^P, for such samples of size $1222$1222.
Round your answer to three decimal places.
Lachlan wanted to know the proportion of commuters that regularly listen to music on his train. In his carriage, he found that in a sample of $35$35 commuters, $7$7 were listening to music.
A survey involving $218$218 midwives found that $150$150 of them were aged between $46$46 and $60$60 years.
To practice her archery, Sandy marked a small interval on the board with length $5$5 centimetres. Sandy takes $240$240 shots at the board from a certain distance, with $151$151 landing between the small interval.