Grade 9 Chi-Square Test Worksheet
This worksheet provides exercises on the Chi-Square test, covering concepts like null hypotheses, degrees of freedom, and calculating the chi-square statistic for categorical data.
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Grade 9 Chi-Square Test Worksheet
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Read each question carefully and provide your answers in the spaces provided. Show all your work for calculations.
1. The Chi-square test is used to determine if there is a significant between two categorical variables.
2. The null hypothesis (H₀) in a Chi-square test typically states that there is association between the variables.
3. The degrees of freedom for a contingency table are calculated as (rows - 1) × ( - 1).
1. Which of the following is NOT an assumption of the Chi-square test?
Random sampling
Normally distributed data
Independent observations
Expected frequencies > 5
2. What happens to the critical Chi-square value as the degrees of freedom increase (for a constant significance level)?
It decreases
It increases
It stays the same
It depends on the data
1. A researcher wants to investigate if there is a relationship between gender and preference for a certain type of music (Pop, Rock, Classical). What would be the null hypothesis for this study?
2. Explain the concept of 'expected frequency' in the context of a Chi-square test.
1. A high Chi-square test statistic value suggests that there is a strong association between the observed and expected frequencies.
True
False
2. If the p-value from a Chi-square test is less than the significance level (e.g., 0.05), we fail to reject the null hypothesis.
True
False
A survey was conducted to see if there is a relationship between gender and preference for coffee or tea. The observed frequencies are given in the table below:
Coffee Tea Total
Males 40 20 60
Females 30 50 80
Total 70 70 140
1. Calculate the expected frequency for 'Males' who prefer 'Coffee'.
2. Calculate the Chi-square statistic (χ²) for this data. (Show your steps and formula).
3. Determine the degrees of freedom for this test.
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