Statistics Quiz

What is the purpose of hypothesis testing in statistics?

• To draw conclusions about the population using sample data

• To collect data for research purposes

• To calculate sample statistics accurately

• To determine the mean difference between two populations

What does the null hypothesis (H0) indicate?

• There is a significant relationship between variables

• The sample mean is equal to the population mean

• There is no change, effect, or occurrence

• The treatment has a positive effect

When is the null hypothesis rejected in hypothesis testing?

• If obtained probability is greater than the alpha level

• If the alternative hypothesis is true

• If the sample mean is higher than the population mean

• If obtained probability is less than the alpha level

What is the purpose of the t-statistic in statistics?

• To measure an unknown population mean

• To determine the sample standard deviation

• To calculate the sampling error

• To compare two independent samples

What design is used when the dependent variable is measured multiple times in the same sample?

• Repeated measure design

• Within subject design

• Matched group design

• Independent-measures research design

What is the critical value based on in hypothesis testing?

• Standard deviation

• Sample size

• Level of significance (alpha)

• Mean difference

When is a two-tailed t-test used?

• To test for a directional relationship

• To compare the means of two groups

• To evaluate the mean difference between two populations

• To determine if two populations are different

What does the independent-measures research design involve?

• Using the same set of individuals in all treatment conditions

• Repeated measures within the same sample

• Separate and independent samples for comparison

• Matching individuals in different samples

What is the goal of hypothesis testing with the t-statistic?

• To determine the significance of the sampling error

• To test hypotheses about an unknown population mean

• To calculate the mean difference between two groups

• To measure the effect of a treatment on the population

What is the purpose of matched group design in research?

• To compare two independent samples

• To simulate a repeated-measures design

• To measure the cognitive function of adults

• To evaluate the mean difference between two populations