1. 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.

1. 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
   • Write down the actual significance level of your test in part (a)
   In Freya's sample 7 adults were left-handed.
2. With reference to your answer in part (a) comment on Freya's belief.