Test of Hypotheses Quiz

What is a hypothesis in statistics?

• A statement or assumption about the population parameter.

• A random guess with no basis.

• A proven fact about the sample data.

• A mathematical equation used to calculate the mean.

What is the null hypothesis?

• A statement that there is no significant difference or relationship between specified variables.

• A statement that there is a significant difference between specified variables

• A hypothesis that is always proven to be true

• A statement that there is no need to conduct further research on the specified variables

What is the alternative hypothesis?

• A statement that supports the null hypothesis

• A statement that is used to prove the null hypothesis

• A statement that is never tested

• A statement that is accepted if the null hypothesis is rejected.

What is the significance level in hypothesis testing?

• The confidence interval for the hypothesis testing.

• The probability of accepting the null hypothesis when it is actually false.

• The probability of rejecting the null hypothesis when it is actually true.

• The margin of error in the hypothesis testing.

What is a Type I error in hypothesis testing?

• Rejecting the null hypothesis when it is actually true

• Failing to reject the null hypothesis when it is actually false

• Accepting the null hypothesis when it is actually false

• Rejecting the alternative hypothesis when it is actually true

What is a Type II error in hypothesis testing?

• False negative

• Correct rejection

• Type I error

• True positive

What is a p-value in hypothesis testing?

• The p-value represents the strength of the evidence against the null hypothesis.

• The p-value is used to determine the effect size of the study.

• The p-value is always less than 0.05.

• The p-value represents the probability that the null hypothesis is true.

What is a one-tailed test in hypothesis testing?

• A hypothesis test that examines if a sample mean is significantly greater than or less than a population mean.

• A test that examines if a sample mean is equal to a population mean

• A test that examines if a sample mean is significantly different from a population mean

• A test that examines if a sample mean is within a certain range of the population mean

What is a two-tailed test in hypothesis testing?

• A test used to determine if there is a significant difference in the mean and median

• A test used to determine if there is a significant difference in both directions, either less than or greater than a certain value.

• A test used to determine if there is no significant difference in the data

• A test used to determine if there is a significant difference in only one direction

What is the critical region in hypothesis testing?

• The area under the curve in a normal distribution

• Set of all possible values of the test statistic that would lead to rejection of the null hypothesis

• The region where the null hypothesis is accepted

• The set of values that support the null hypothesis