Two Population Hypothesis Tests

Which of the following is the null hypothesis for a two-sample t-test?

• The means of the two samples are equal

• The means of the two samples are not equal

• The variances of the two samples are equal

• The variances of the two samples are not equal

A researcher wants to test if there is a significant difference between the mean income of men and women in a particular city. Which of the following tests should be used?

• Paired t-test

• Independent t-test

• ANOVA

• Chi-squared test

Which of the following is the correct interpretation of a p-value of 0.01 in a two-sample t-test?

• There is a 1% chance that the null hypothesis is true

• There is a 1% chance that the alternative hypothesis is true

• There is a 99% chance that the null hypothesis is true

• There is a 99% chance that the alternative hypothesis is true

Which of the following assumptions is not required for a two-sample t-test?

• The sample sizes are large

• The data are normally distributed

• The samples are independent

• The variances of the two samples are equal

A statistician is interested in comparing the mean ages of two populations. Which of the following is the null hypothesis?

• μ1 > μ2

• μ1 ≠ μ2

• μ1 < μ2

• μ1 = μ2

A researcher wants to test whether the mean heights of two groups of basketball players are different. Which of the following tests should be used?

• Chi-square test for independence

• T-test for independent samples

• T-test for dependent samples

• Z-test for independent samples

Which test should be used to determine if there is a difference in the proportion of males and females who prefer cats as pets?

• T-test

• Z-test

• ANOVA

• Chi-square test

The alternative hypothesis for a test of the difference between two population proportions is:

• The proportions are equal

• The proportions are both greater than 1

• The proportions are both less than 1

• The proportions are not equal

Which test is used to test the equality of variances between two normally distributed populations?

• t-test

• ANOVA

• F-test

• Chi-squared test

If the calculated F-statistic is greater than the critical F-value, what should be done?

• Reject the null hypothesis

• Fail to reject the null hypothesis

• Accept the alternative hypothesis

• None of the above