Sam tests whether the probability that a tennis serve lands in court has changed from 0.60. For 50 serves, let X X\,X be the number that land in court. At the 10% level of significance, the critical region is X≤23 X\leq23\,X≤23 or X≥37X\geq37X≥37. In the sample, 35 serves land in court.
State the null and alternative hypotheses.
State whether the test is one-tailed or two-tailed, giving a reason.
Complete the hypothesis 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.