A Researcher Reports A $\chi$ 2 (Obtained) of 75 $\chi$ =05, Df = 1

question 45

Multiple Choice

A researcher reports a $\chi$ 2 (obtained) of 75.34 ( $\chi$ =.05, df = 1, $\chi$ 2 (critical) = 3.84, N = 13,678) . The researcher claims that the relationship is extremely significant. What issue should be raised?

• A) degrees of freedom are much too small for a sample this large.
• B) alpha is too low
• C) sample size is very large and the actual relationship between the variables might be trivial
• D) the value for \(\chi\)2 (critical) is much too low

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Definitions:

Population Proportion

The ratio of members in a population that have a particular attribute, often estimated from sample data.

Chi-squared Test

A statistical test used to determine if there is a significant difference between observed frequencies and expected frequencies in categorical datasets.

Chi-squared Distribution

A statistical distribution that is used primarily in hypothesis testing and is derived from the sum of squared standard normal deviates.

Proportion

A statistical measure that indicates the fraction of the total number of items in a certain category or characteristic.