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Significantly Significant in Statistics MCQ

The value that results from the application of a statistical test is called

Obtained value

Constant value

Variable value

All of these

Answer

Correct Answer: Obtained value

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Obtained value is statistical value

True

False

Answer

Correct Answer: True

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The probability of ____ a null hypothesis when it is false.

Accepting

Rejecting

Modifying

None

Answer

Correct Answer: Accepting

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The probability of ____a null hypothesis when it is true.

Accepting

Rejecting

Modifying

None

Answer

Correct Answer: Rejecting

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Statistical significance is also called significance level.

True

False

Answer

Correct Answer: True

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The risk set by the researcher for rejecting a null hypothesis when it is true is called

Significance level

Statistical level

Correlation level

All of these

Answer

Correct Answer: Significance level

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What happens to the probability of committing a Type I error if the level of significance is changed from alpha = 0.01 to alpha = 0.05?

The probability of committing a Type I error will decrease.

The probability of committing a Type I error will increase.

The probability of committing a Type I error will remain the same.

The change in probability will depend on your sample size.

Answer

Correct Answer: The probability of committing a Type I error will increase.

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Power is equal to ______.

The value of the Type II error subtracted from 1

The value of Type I error subtracted from 1

1 subtracted from the value of the Type II error

1 subtracted from the value of the Type I error

Answer

Correct Answer: The value of the Type II error subtracted from 1

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If you reject the null hypothesis, which of the following may occur?

A correct decision or a Type I error

A Type I error or a Type II error

A correct decision or a Type II error

A correct decision or a Type I error or a Type II error

Answer

Correct Answer: A correct decision or a Type I error

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Which of the following tests is considered more powerful?

A one-tailed test

A two-tailed test

Neither; they are both equally statistically powerful

Which is more powerful depends on the sample size

Answer

Correct Answer: A one-tailed test

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What does it mean when a computer printout reads “p = 0.03”?

The result falls in the extreme 3% of the sampling distribution and the probability of a Type I error is 0.03.

The result falls in the extreme 3% of the sampling distribution and the probability of a Type II error is 0.03.

The probability of a Type I error (0.03) is smaller than α (0.05), and, therefore, the results are nonsignificant.

The probability of an error should be reported as p < 0.01.

Answer

Correct Answer: The result falls in the extreme 3% of the sampling distribution and the probability of a Type I error is 0.03.

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Which of the following accurately defines a Type II error?

Rejecting when it is true

Failing to reject when it is true

Rejecting when it is false

Failing to reject when it is false

Answer

Correct Answer: Failing to reject when it is false

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If researchers report that the results from their study were significant, p < 0.05, this means that ______.

If they conducted the study over, they would get the same results less than 5 times in 100

The results are untrustworthy

We would expect the results to occur by chance less than 95 times out of 100

We would expect the results to occur by chance less than 5 times out of 100

Answer

Correct Answer: We would expect the results to occur by chance less than 5 times out of 100

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Failing to reject H0 when we should have rejected it is a ______ error.

Type I

Type II

Null

One-tailed

Answer

Correct Answer: Type II

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The power of a statistical test is the probability of ______.

Failing to reject a false

Rejecting a false

Failing to reject a true

Rejecting a true

Answer

Correct Answer: Rejecting a false

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Which of the following accurately defines a Type I error?

Rejecting a null hypothesis when it is true

Retaining a null hypothesis when it is true

Rejecting a null hypothesis when it is false

Retaining a null hypothesis when it is false

Answer

Correct Answer: Rejecting a null hypothesis when it is true

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When the probability of a Type I error is less than .05, we say that we have observed ______.

A Type II error

Statistical significance

The alternative hypothesis

All of these

Answer

Correct Answer: Statistical significance

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Rejecting H0 when we should have failed to reject it is a ______ error.

Type I

Type II

Null

One-tailed

Answer

Correct Answer: Type I

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A Type I error occurs when we say that something ______.

Works when it really does

Doesn’t work when it really does

Works when it really doesn’t

Doesn’t work when it really doesn’t

Answer

Correct Answer: Doesn’t work when it really does

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