5.
The proportion of left-handed adults in a country is 10\%
Freya believes that the proportion of left-handed adults under the age of 25 in this country is different from 10\%
She takes a random sample of 40 adults under the age of 25 from this country to investigate her belief.
- Find the critical region for a suitable test to assess Freya's belief.
You should
- state your hypotheses clearly
- use a \(5 \%\) level of significance
- state the probability of rejection in each tail
- Given the null hypothesis is true what is the probability of it being rejected in part (a)?
In Freya's sample 7 adults were left-handed. - With reference to your answer in part (a) comment on Freya's belief.
\section*{6.}