Answer:
The correct answer to the following question will be "90% = 5%" and "95% = 2.5%".
Step-by-step explanation:
The given levels are:
90% and 95%
(a)...
At 90%, we get
⇒ [tex]1-\alpha[/tex] = [tex]0.90[/tex]
then,
⇒ [tex]\alpha = 0.10[/tex]
⇒ [tex]\frac{\alpha }{2}=0.05[/tex] ≅ [tex]5 \ percent[/tex]
∴ at 90% level of confidence 5% must be chopped off from each of the tail.
(b)...
At 95%, we get
⇒ [tex]1-\alpha[/tex] = [tex]0.95[/tex]
then,
⇒ [tex]\alpha = 1-0.95[/tex] [tex]=0.10[/tex]
⇒ [tex]\frac{\alpha }{2} =0.025[/tex] ≅ [tex]2.5 \ percent[/tex]
∴ at 95% level of confidence 2.5% must be chopped off from each of the tail.