A Chi-Squared Test of a Contingency Table with 6 Degrees

question 78

True/False

A chi-squared test of a contingency table with 6 degrees of freedom results in a test statistic of 13.25. Using the chi-squared table, the most accurate statement that can be made about the p-value for this test is that p-value is greater than 0.025 but smaller than 0.05.

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Definitions:

Chebyshev's Theorem

A statistical rule stating for any real number k greater than one, at least (1-1/k^2) of the distribution's values lie within k standard deviations from the mean.

Standard Deviations

A metric indicating the degree of spread or variability in a collection of numbers, highlighting the distance of individual values from the central mean.

Chebyshev's Theorem

A statistical theorem which states that for any real number greater than one, a certain proportion of values in any data set will be close to the mean, based on the number of standard deviations specified.

Standard Deviations

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are from their mean.