If the alpha level is changed from 05 to 01 Hint Sketch yo

If the alpha level is changed from = .05 to = .01: (Hint: Sketch your graph, designate some arbitrary values for n, , and , calculate the actual z values that mark the boundaries.)

The boundaries of the critical region moves (toward/away from) _____ the mean, and our chances of rejecting H₀ are (increased/decreased) ______.

The probability of making a Type I error is (increased/decreased)_____. This means that the likelihood of rejecting the H₀ when no real difference exists is (increased/decreased) ______.

Please explain and show work.

Solution

Note that in the normal curve, the area decreases as you go farther towards the extreme right or extreme left.

The boundaries of the critical region moves (toward/away from) _____ the mean,

[[AWAY]], as the area decreased from 0.05 to 0.01.

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and our chances of rejecting H0 are (increased/decreased) ______.

[[DECREASED]], as the critical region\'s area decreased.
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The probability of making a Type I error is (increased/decreased)_____.

[[DECREASED]], as making a type I error depends on rejecting the null hypothesis.
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This means that the likelihood of rejecting the H0 when no real difference exists is (increased/decreased) ______.

[[DECREASED]], by the same reason above.