Hypothesis Testing (AQA A-Level Mathematics): Quizzes

📚Quizzes
Hypothesis Testing
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is the critical region in a hypothesis test?

Set of xx values leading to H0H_0 rejected

For a right tail test at 5% significance, find critical region where P(Xk)P(X \geq k) is:

0.05\leq 0.05

In a left tail test at 5% significance, look for P(Xk)P(X \leq k) crossing which boundary?

0.050.05

In a two-tailed test at 5% significance, what is the significance level for each tail?

0.0250.025

For B(10,0.2)B(10, 0.2), if P(X5)=0.033<0.05P(X \geq 5) = 0.033 < 0.05 and P(X4)=0.121>0.05P(X \geq 4) = 0.121 > 0.05, critical region is:

X5X \geq 5

For B(20,0.15)B(20, 0.15) left tail test, if P(X0)=0.0387<0.05P(X \leq 0) = 0.0387 < 0.05 and P(X1)=0.1755>0.05P(X \leq 1) = 0.1755 > 0.05:

X0X \leq 0

For B(20,0.4)B(20, 0.4) two-tailed at 5%, left is X3X \leq 3, right is X13X \geq 13. What's the critical region?

X3X \leq 3 or X13X \geq 13

If critical region is X0X \leq 0 and X=3X = 3 is observed, what is the conclusion?

Do not reject H0H_0

What is the actual significance level of a test?

Probability in the rejection region

Using List Mode for a right tail test, where should you start entering values?

At the biggest value

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.