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. Use a binomial distribution to carry out the test. . . . . . . . . . . . . . . . . . . . . . . . . .

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_s25_qp_65 Year：2025 Question No：6(a)

Answer:

Knowledge points:

6.5.2.1 direct evaluation of probabilities

6.5.2.2 a normal approximation to the binomial or the Poisson distribution, where appropriate

6.5.5 calculate the probabilities of making Type I and Type II errors in specific situations involving tests based on a normal distribution or direct evaluation of binomial or Poisson probabilities.

Answer:

Knowledge points:

Solution:

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