Hypothesis Testing and Proportions Quiz

Mia and Kai are comparing the average scores of their math tests from two different classes. What is the null hypothesis when testing the difference in means between these two independent groups?

• The means of the two groups are equal.

• The means of the two groups are not equal.

• The means of the two groups are greater than each other.

• The means of the two groups are less than each other.

Which of the following is the correct alternative hypothesis for a one-tailed test where we suspect the average test score of students in Liam's class is greater than in Nora's class?

Samuel and Aria are comparing the average scores of two different classes on a math test. What is the formula for calculating the test statistic in a t-test for independent means?

Tags

CCSS.HSS.ID.A.4

Harper is conducting a study to determine if a new teaching method is more effective than the traditional one. How does Harper determine the p-value in this hypothesis test?

• By comparing the test statistic to a critical value.

• By calculating the probability of observing the test statistic or something more extreme under the null hypothesis.

• By calculating the mean of the sample data.

• By determining the standard deviation of the sample data.

Oliver and Maya want to compare their test scores before and after attending a special study session. Which test would you use to compare the means of their scores?

• Independent t-test

• Paired t-test

• Chi-square test

• ANOVA

Arjun is conducting a survey to find out if the proportion of students who prefer online classes is equal to 50%. What is the null hypothesis when testing this single proportion?

• The proportion is equal to a specified value.

• The proportion is not equal to a specified value.

• The proportion is greater than a specified value.

• The proportion is less than a specified value.

Maya is conducting a survey to find out the proportion of students in her school who prefer online classes over traditional ones. She wants to test her hypothesis using a proportion test. Which of the following is the correct formula for the test statistic in a proportion test?

What is the alternative hypothesis when testing the difference in proportions between two groups?

• The proportions are equal.

• The proportions are not equal.

• The proportions are greater than each other.

• The proportions are less than each other.

Which test is appropriate for comparing the difference in proportions between two independent groups?

• Independent t-test

• Paired t-test

• Z-test for proportions

• ANOVA

What is the critical value approach in hypothesis testing?

• Comparing the test statistic to a critical value to decide whether to reject the null hypothesis.

• Calculating the p-value and comparing it to the significance level.

• Determining the mean of the sample data.

• Calculating the standard deviation of the sample data.