If the alpha level is changed from = .05 to = .01: (Hint: Sketch your graph, des

Question

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.

Explanation / Answer

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.

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