1) If the alpha level is changed from α = .05 to α = .01, what happens to boundaries for the critical region?
The boundaries:

a. Move farther into the tails
b. Move closer to the center
c. Do not move

2) What happens to the probability of a Type I error when the alpha level is changed from α = .05 to α = .01?
The probability:

a. Decreases
b. Remains Constant
c. Increases

1) a. Move farther into the tails

2) a. Decreases

Step-by-step explanation:

Hello!

1)

Let's say for example that you are making a confidence interval for the mean, using the Z-distribution:

X[bar] ± *

Leaving all other terms constant, this are the Z-values for three different confidence levels:

90%

95%

99%

Semiamplitude of the interval is

d= *

Then if you increase the confidence level, the value of Z increases and so does the semiamplitude and amplitude of the interval:

↑d= ↑ *

They have a direct relationship.

So if you change α: 0.05 to α: 0.01, then the confidence level 1-α increases from 0.95 to 0.99, and the boundaries move farther into the tails.

2)

The significance level of a hypothesis test is the probability of committing a Type I error.

If you decrease the level from 5% to 1%, then logically, the probability decreases.

I hope this helps!

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