Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

Do not use an approximating distribution in this question. In last year’s election in Menham, 24% of voters backed the Today Party. A student wants to check whether support for the Today Party has fallen since last year. He takes a random sample of 25 voters in Menham and discovers that exactly 2 of them say they support the Today Party.
(main)[5]

Use the $5\%$ significance level to test whether support for the Today Party has decreased.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write down hypotheses $H_0:p=0.24$ and $H_1:p<0.24$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI