Mathematics 9709 · AS & A Level · Hypothesis testing

Hypothesis testing — practice question

Arvind plays a game with a standard fair 6-sided die. He thinks he has a method for predicting the score that will appear each time the die is rolled. Before every roll, he records the score he expects. He says that he can record the right score more often than random guessing would allow. His friend Laxmi checks this by getting him to note his prediction before each of 15 rolls of the die. Arvind gives the correct score on exactly 5 of the 15 rolls.
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Test Arvind’s claim using the 10% significance level.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Gives the hypotheses $H_0: p = \frac{1}{6}$ and $H_1: p > \frac{1}{6}$

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