13 In a report published in October 2021 it is stated that \(37 \%\) of adults in the United Kingdom never exercise or play sport. A researcher believes that the true percentage is less than this. They decide to carry out a hypothesis test at the \(5 \%\) level to investigate the claim.
- State the null and alternative hypotheses for their test.
- Define the parameter for their test.
In a random sample of 118 adults, they find that 35 of them never exercise or play sport.
- Carry out the test.