4 In a certain country it is known that 11\% of people are left-handed.
- Calculate the probability that, in a random sample of 98 people from this country, 5 or fewer are found to be left-handed, giving your answer correct to 3 significant figures.
An anthropologist believes that the proportion of left-handed people is lower in a particular ethnic group.
The anthropologist collects a random sample of 98 people from this particular ethnic group in order to test the hypothesis that the proportion of left-handed people is less than \(11 \%\).
The anthropologist carries out the test at the \(1 \%\) level.
- Determine the critical region for this test.