Question

The "power of a test" is the probability of concluding H_A when in fact H_A is true. The power of a test will decrease if:

Group of answer choices

There is low variability amongst the population being studied.

A larger sample is used.

Data is collected or measured in a more consistent fashion.

A lower significance level (alpha) is used.

Part B

The significance level (alpha) represents all the following EXCEPT:

Group of answer choices

Your willingness to make a Type I error.

The chance of concluding the alternative hypothesis even when its false.

Your willingness to make a Type II error.

The threshold of evidence required before concluding the alternative hypothesis.

Part C

In a medical test for a particular disease, a Type I error would be:

Group of answer choices

repeating the test over and over until the test comes back negative.

biasing the result by using improper measuring techniques.

concluding a person doesn't have the disease when they really do.

concluding a person has the disease when they really don't.

Answer 1

Ans:

A)Correct option is:

A lower significance level (alpha) is used.

As,lower the alpha,lower the probability of making type I error,larger the probability of making type II error and hence lower the power.(as we will be less likely to reject the null hypothesis)

B)Correct option is:

Your willingness to make a Type II error.

(alpha represents the probability of making type I error)

C)Correct option is:

concluding a person has the disease when they really don't.

(a type I error is rejecting the null hypothesis when null hypothesis is true)