13.7.1. Chi-Square Test

Try these first

1. 1.

   What does the Chi-Square Test assess?

   Hint

   Think about how well two sets of data correspond.

2. 2.

   What does 'v' represent in the Chi-Square formula?

   Hint

   Consider what you're measuring in the data.

3. 3.

   What is the purpose of the Chi-Square Test?

   • To calculate averages
   • To evaluate goodness-of-fit
   • To predict future values

   Hint

   Think about what the test is designed to measure.

4. 4.

   True or False: The residuals in a Chi-Square Test indicate discrepancies between observed data and expected data.

   • True
   • False

   Hint

   What do residuals signify in statistical terms?

5. 5.

   A researcher claims that the distribution of plant species in a field follows a certain pattern. After observation, they calculate a Chi-Square statistic of 15. In a table, they find the critical value at a significance level of 0.01 and degrees of freedom of 5 is 15.086. How would you interpret these results?

   Hint

   Review how Chi-Square values compare with critical values for interpretation.

6. 6.

   If in a survey of household sizes, the expected family size distribution was set at 3, while the observed sizes from 100 surveyed families showed an average of 3.5 with a variance of 0.5. How would you determine the fit of your observations?

   Hint

   Make sure to understand what variances indicate in the context of Chi-Square analysis.