Consider the Following Printout $\mathrm { X } = \mathrm { x }$

question 19

Multiple Choice

Consider the following printout. HYPOTHESIS: VARIANCE $\mathrm { X } = \mathrm { x }$
$$X = \text { gpa }$$

$$\begin{aligned}\text { SAMPLE MEAN OF X \( =2.2911 \) }\\\text { SAMPLE VARIANCE OF X \( =.18000 \) }\\\text { SAMPLE SIZE OF X \( =199 \) }\\\text { HYPOTHESIZED VALUE \( (x) =2.4 \) }\\\\\text { VARIANCE } X - x & = - .1089 \\z & = - 3.62091\end{aligned}$$ Suppose we tested Ha: ? < 2.4. Find the appropriate rejection region if we used ? = .05.

• A) Reject if z < -1.645.
• B) Reject if z > 1.645 or z < -1.645.
• C) Reject if z > 1.96 or z < -1.96.
• D) Reject if z < -1.96.

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Definitions:

Margin of Error

A measurement of the maximum expected difference between the true population parameter and a sample estimate of that parameter.

Confidence

In statistics, the degree of certainty or probability that a parameter lies within a specified range of values.

Randomly Sample

A method of selecting a subset of individuals from a population in such a way that each individual has an equal chance of being chosen.

Clear Majority

A situation or result in which a significantly larger portion of a group supports a particular outcome or opinion over all others combined.