A bakery states that 30% of its loaves contain seeds. A consumer group believes that this proportion may be incorrect. A random sample of 40 loaves is taken, and X X\,X denotes the number containing seeds.
State suitable hypotheses.
Find the critical region for a two-tailed test at the 5% level of significance, using a probability of less than 0.025 in each tail.
Find the actual significance level.
The sample contains 18 loaves with seeds. Complete the test.
209 exam-style questions on CCEA A Level Maths 4.6 Statistical hypothesis testing (A-level only), covering 4.6.1 Statistical hypothesis testing (A-level only), 4.6.2 Statistical hypothesis testing (A-level only), 4.6.3 Statistical hypothesis testing (A-level only), 4.6.4 Statistical hypothesis testing (A-level only), and 4.6.5 Statistical hypothesis testing (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.