It is claimed that $$\(28 \%\)$$ of voters in a certain town support the Forward Now political party. A researcher suspects that the true figure is less than $$\(28 \%\)$$. She interviews a random sample of 30 voters from the town and she finds that 4 voters in the sample say that they support the Forward Now party. She plans to carry out a hypothesis test at the $$\(10 \%\)$$ significance level. State, with a reason, whether it is possible that a Type I error was made in carrying out the test. . . . . . . Later the researcher carries out a similar test at the $$\(10 \%\)$$ significance level, using a new random sample of 30 voters from the town.

Mathematics
IGCSE&ALevel
CAIE
Exam No:9709_s25_qp_65 Year:2025 Question No:6(b)

Answer:



Knowledge points:

6.5.4 understand the terms Type I error and Type II error in relation to hypothesis tests

Solution:

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