In a Chi-Square Test for Goodness of Fit,the Null Hypothesis

question 10

Multiple Choice

In a chi-square test for goodness of fit,the null hypothesis is that

• A)the number of people in one category is no greater than the number of people in the other.
• B)the variances of the populations of categories are the same.
• C)the proportion of people over categories breaks down the same for the two populations.
• D)the means of the two populations of categories are the same.

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Definitions:

Variance

A measure of how much values in a dataset differ from the mean or average of the set, indicating the spread of the data.

Test Statistic

A value calculated from sample data during a hypothesis test. It's used to assess the evidence against the null hypothesis.

Chi-squared Distributed

Refers to a statistical distribution that is used to assess the goodness-of-fit of observed data with theoretical expectations under the null hypothesis.

Normal Distribution

A bell-shaped distribution curve which is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.