Question

1. Suppose that null hypothesis, H0, is: Frank’s rock climbing equipment is safe. State the Type I and Type II error.

2. Suppose that the null hypothesis, H0, is: The victim of an automobile accident is alive when he arrives at the emergency room of a hospital. State the Type I and Type II error.

3. The p-value for a hypothesis test is 0.07. Decide whether the null hypothesis should be rejected at (a) α = 0.05, (b) α = 0.10.

Answer 1

Tyoe 1 error :- rejecting the null hypothesis when it is true

Type II error :- non rejection of null hypothesis when it is false .

1) rejecting the null hypothesis that Frank's rock climbing equipment is safe .. when actually it is safe .

2) non rejection of null hypothesis that victim is alive when he arrives at the emergency room when actually victim is dead .

3) pvalue = 0.07

a) alpha = 0.05 , here pvalue is Greater than aplha so do not reject null hypothesis .

B) here aplha = 0.10 hence pvalue is less than alpha .. so reject the null hypothesis.