In a Survey of 500 Randomly Selected Corporate CEOs and 1000

question 12

Multiple Choice

In a survey of 500 randomly selected corporate CEOs and 1000 randomly selected small business owners, 160 of the CEOs and 260 of the small business owners cited government over-regulation as a significant problem. At a 5% significance level, use a chi-square test to test the hypothesis that the proportion of individuals who hold this opinion is the same in both populations represented here.What is the critical chi-square value for the test?

• A)2.671
• B)4.413
• C)8.960
• D)3.841

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Definitions:

Expected Frequency

In statistics, the predicted count of occurrences in a category of a contingency table based on probabilities derived from a theoretical distribution.

Sample Size

The number of observations or replicates included in a statistical sample, influencing the study's precision and conclusions.

Null Hypothesis

A hypothesis that assumes no significant difference or relationship between variables, serving as the default position that indicates no effect or change.

Chi-Square Value

A statistic that measures the difference between observed frequencies and the frequencies expected under a specific hypothesis.