Hypothesis Testing (Edexcel A-Level Mathematics): Quizzes

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Hypothesis Testing
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What is another name for the critical region in hypothesis testing?

Rejection region

For H1:p>0.25H_1: p > 0.25, what type of test is this?

Right tail test

In a right tail test at 5% sig level, we need P(Xk)P(X \geq k) to be:

0.05\leq 0.05

For B(20,0.15)B(20, 0.15) testing H1:p<0.15H_1: p < 0.15 at 5%, if P(X0)=0.0387P(X \leq 0) = 0.0387, what is critical region?

X0X \leq 0

For a two-tailed test at 5% sig level, what sig level is used per tail?

2.5%

For B(20,0.4)B(20, 0.4) testing H1:p0.4H_1: p \neq 0.4 at 5%, if left crit is X3X \leq 3, right is X13X \geq 13, what's region?

X3X \leq 3 or X13X \geq 13

If P(X3)=0.016P(X \leq 3) = 0.016 and P(X13)=0.021P(X \geq 13) = 0.021, what is actual sig level?

0.037

Critical region is X6X \geq 6. If observed value is X=5X = 5, what is conclusion?

Do not reject H0H_0

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

Biggest value

Finding critical region by trial & improvement, what confirms you found the entire region?

Crossing reject to accept boundary

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