6 It is known that \(8 \%\) of adults in a certain town own a Chantor car. After an advertising campaign, a car dealer wishes to investigate whether this proportion has increased. He chooses a random sample of 25 adults from the town and notes how many of them own a Chantor car.
- He finds that 4 of the 25 adults own a Chantor car.
Carry out a hypothesis test at the 5\% significance level.
- Explain which of the errors, Type I or Type II, might have been made in carrying out the test in part (a).
Later, the car dealer takes another random sample of 25 adults from the town and carries out a similar hypothesis test at the 5\% significance level. - Find the probability of a Type I error.
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