Consider a Situation in Which We Expect the Same Frequency

question 28

Multiple Choice

Consider a situation in which we expect the same frequency of 64 total observations to be in each of four categories. We can use an ?² goodness-of-fit test to test whether the frequencies of offspring are as expected. If the numbers of values in each category are 12, 24, 10, and 18, and using the table of critical values shown, what is the conclusion of our test?
?
$\begin{array}{c}\chi^{2} \text { critical values }\\\text { for } d f=2\\\begin{array}{ll}\text { Sig. level } & \text { Value } \\\hline 0.05 & 7.81\\0.025 & 9.35 \\0.01 & 11.34\end{array}\end{array}$

• A) Fail to reject the null hypothesis, we lack the evidence to decide that the frequencies differ from those that were expected.
• B) Fail to reject the null hypothesis, we have good evidence to decide that the frequencies differ from those that were expected.
• C) Reject the null hypothesis, we lack the evidence to decide that the frequencies differ from those that were expected.
• D) Reject the null hypothesis, we have good evidence to decide that the frequencies differ from those that were expected.

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Definitions:

Productivity

The efficiency at which production inputs, such as labor and capital, are turned into outputs, often measured as the ratio of output to input over a specific period.

Intervention

An action or process of intervening, often implemented to bring about a change or influence the outcome in a positive way.

Chi-Square Test Statistic

A value calculated during a Chi-Square Test that measures the difference between observed and expected frequencies, used to assess the evidence against a null hypothesis.

One-Sample Test

A statistical test used to determine if the mean of a single sample differs significantly from a known or hypothesized population mean.