Statistics Hypothesis

Which of the following best describes a Type I error?

• The null is true, but we mistakenly reject it.

• The null is false and we reject it.

• The null is false, but we fail to reject it.

• The null is true but we fail to reject it.

• The null is true, and we fail to reject it.

To test a claim about a mean, when the population standard deviation is unknown we use:

• z procedures

• Pythagorean Theorem

• t procedures

• np > 10 and n(1-p) > 10

When p-value is greater than alpha we:

• Accept Ho

• Accept Ha

• Fail to reject Ho

• Reject Ho

Which of the following best describes a type II error?

• The null is true, but we mistakenly reject it.

• The null is false and we reject it.

• The null is false, but we fail to reject it.

• The null is true but we fail to reject it.

• Te null is false, and we reject it.

When conducting a significance test for the difference in proportions, why do we pool the data when finding standard error?

• Because we like to swim

• Because we assume p1 = p2 in Ho

• Because the sample sizes are always equal

• To be safe and make sure we don't underestimate the standard error

• Because we don't the standard deviation.

What is the Power of a test?

• A strong force

• The probability that we correctly reject a false null.

• The probability that we correctly accept a true null.

• How tough it is.

Identify the correct null hypothesis:

Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

• H₀: p = 0.50

• H₀: µ = 100

• H₀: p = 0.48

• H₀: µ = 96

A P-value indicates:

• the probability that the null hypothesis is true

• the probability that the alternative hypothesis is true

• the probability of obtaining the results (or one more extreme) if the null hypothesis is true

• probability of a Type I error

In a research report, the term "significant" is used when the null hypothesis is rejected.

• True

• False

When determining the conclusion of a hypothesis test with alpha = 5%, which of the following is true?

• If the p-value is less than 5%, then we fail to reject the null hypothesis.

• If the p-value is less than 5%, then we reject the null hypothesis.

• If the p-value is more than 5%, the we reject the null hypothesis.

• We need more information.