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Which of the following is most llkely to incrase the chances of making a Type II...

Which of the following is most llkely to incrase the chances of making a Type II error?

a.

Setting a low alpha level (alpha = .01 rather than .05)
b.

A high probability of making a Type I error
c.

Setting a high alpha level (alpha = .05 rather than .01)
d.

A large difference between the sample and population means
Math   Statistics-And-Probability   
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Answer #1

a. A low alpha level will ensure that the probability of rejecting the null hypothesis is difficult, hence, Type I error decreases. Since, decrease in Type I error ensure increase in Type 2 error, so type 2 error increases.

b. The probability of Type II error decreases as Type I error increases.

c. Setting a higher alpha will ensure higher chances of rejecting the null hypothesis, Type I error increases. Thus, Type II error decreases.

d. Large difference between the sample and population means ensure higher chances of rejecting the null hypothesis.

Hence, Option (a) will increase the chances of Type II error  

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