final round

What is the purpose of a chi-square test?

• To compare means between two independent groups

• To test the association between two categorical variables

• To compare variances between two independent groups

• To test the difference between the means of three or more independent groups

What type of data is most appropriate for a chi-square test?

• Continuous data

• Categorical data

• Ordinal data

• Interval data

Which of the following assumptions must be met to use a chi-square test?

• Data must be normally distributed

• Observations must be independent

• Sample sizes must be equal

• Data must be measured on an interval scale

What is the chi-square statistic used to measure?

• The difference between means

• The strength of a linear relationship

• The discrepancy between observed and expected frequencies

• The correlation between two variables

What is the null hypothesis in a chi-square test?

• There is no association between the variables

• There is a significant difference between the means

• The data is normally distributed

• The sample sizes are equal

In which scenario would you use a chi-square test?

• To analyze the relationship between age and voting preference

• To compare the average heights of two different species

• To assess the impact of temperature on plant growth

• To evaluate the correlation between two continuous variables

What does a high chi-square statistic indicate?

• A strong association between the variables

• A weak association between the variables

• No association between the variables

• Data is normally distributed

What is the alternative hypothesis in a chi-square test?

• There is no association between the variables

• There is an association between the variables

• The data is normally distributed

• The sample sizes are equal

Which of the following is a limitation of the chi-square test?

• It can only be used for continuous data

• It requires a large sample size

• It cannot handle missing data

• It assumes a normal distribution of data

How is the chi-square statistic calculated?

• By summing the squared differences between observed and expected frequencies

• By calculating the mean of the observed frequencies

• By finding the variance of the expected frequencies

• By multiplying the observed frequencies by the expected frequencies