Chi-Square Test Worksheet
This worksheet provides practice problems on the Chi-square test for goodness-of-fit and independence, suitable for Grade 11 students.
Includes
Standards
Topics
Chi-Square Test Practice
Name:
Date:
Score:
Read each question carefully and provide your answers in the space provided. Show all your work for calculations.
1. The Chi-square test is a statistical test used to examine the difference between observed and frequencies.
2. The symbol for the Chi-square statistic is .
3. When performing a Chi-square test for goodness-of-fit, the null hypothesis states that there is significant difference between the observed and expected distributions.
4. A company claims that its new energy drink helps improve focus. They surveyed 100 students: 40 reported improved focus, 35 reported no change, and 25 reported decreased focus. If the company claims an equal distribution of outcomes, perform a Chi-square goodness-of-fit test at a 0.05 significance level to see if the observed distribution differs significantly from the expected uniform distribution. State your null and alternative hypotheses, calculate the Chi-square statistic, find the critical value, and state your conclusion.
5. The degrees of freedom for a Chi-square goodness-of-fit test are calculated as (number of categories - 1).
True
False
6. A large Chi-square test statistic value indicates a good fit between observed and expected frequencies.
True
False
7. A study investigated the relationship between gender and preference for three types of movies: Action, Comedy, and Drama. The results are shown in the table below. At a 0.01 significance level, determine if there is a significant association between gender and movie preference. State your hypotheses, calculate the Chi-square statistic, find the critical value, and state your conclusion.
Observed Frequencies:
Action
Comedy
Drama
Male
50
30
20
Female
30
40
30
8. What is the primary purpose of a Chi-square test for independence?
To compare means of two groups
To determine if there is an association between two categorical variables
To predict the value of one variable based on another
To measure the strength of a linear relationship
Related Worksheets
Box and Whisker Plots
This worksheet focuses on understanding and interpreting box and whisker plots, including identifying key statistical measures and comparing data sets.
Correlation and Coefficients Worksheet
Explore the concepts of correlation, causation, and different types of correlation coefficients with this Grade 11 Math worksheet.
Correlation and Coefficients Worksheet
Explore the concepts of correlation, causation, and different types of correlation coefficients with this Grade 11 Math worksheet.
Cumulative Frequency Worksheet
Grade 11 Math worksheet focusing on understanding and constructing cumulative frequency tables and graphs.
Frequency Polygon Worksheet
Grade 11 Mathematics worksheet on constructing and interpreting frequency polygons.
Mean Absolute Deviation Worksheet
A Grade 11 Math worksheet focusing on understanding and calculating Mean Absolute Deviation (MAD) for various data sets.
Counting Principle Worksheet
A Grade 11 Math worksheet covering the fundamental counting principle, permutations, and combinations.
Grade 11 Sample Space Worksheet
Explore the fundamentals of sample space in probability with this Grade 11 math worksheet, covering definitions, listing outcomes, and calculating probabilities for various experiments.