The random variable X X\,X has the distribution X∼B(25,0.3)X \sim B(25, 0.3)X∼B(25,0.3) under the null hypothesis H0H_0H0: p=0.3p = 0.3p=0.3, and the alternative hypothesis is H1H_1H1: p<0.3p < 0.3p<0.3.
Using a 5% significance level, find the critical region for this test.
State the conclusion of the test if the observed value of X X\,X is 4.
162 exam-style questions on AQA A Level Maths 2.5 O: Statistical hypothesis testing, covering 2.5.1 Language of hypothesis testing, 2.5.2 Hypothesis test for a binomial proportion, and 2.5.3 Hypothesis test for a Normal mean (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.