(a)[3]
Calculate the significance level of the test.
(b)[1]
State the probability associated with a Type I error.
(c)[3]
It is now stated that the true value of $p$ is $0.05$. Calculate the probability of a Type II error.
Mathematics 9709 · AS & A Level · Hypothesis testing
Hypothesis testing — practice question
Amir thinks that 20% of the students at his college are left-handed. His friend thinks that the true proportion, $p$, is below 20%. Amir intends to use the binomial distribution to test the null hypothesis, $H_0: p = 0.2$, against the alternative hypothesis, $H_1: p < 0.2$. He plans to select 35 students at random. If 3 or fewer of these students are left-handed, Amir will reject his belief.