Explain the Logic of Hypothesis Testing
-Suppose You Want to Test

question 29

Multiple Choice

Explain the Logic of Hypothesis Testing
-Suppose you want to test the claim that $\mu < 65.4$ . Given a sample size of $\mathrm { n } = 35$ and a level of significance of $\alpha = 0.10$ , when should you reject $\mathrm { H } _ { 0 }$ ?

• A) Reject \(\mathrm { H } _ { 0 }\) if the standardized test statistic is less than -1.28.
• B) Reject \(\mathrm { H } _ { 0 }\) if the standardized test is less than \(- 2.33\).
• C) Reject \(\mathrm { H } _ { 0 }\) if the standardized test statistic is less than \(- 2.575\).
• D) Reject \(\mathrm { H } _ { 0 }\) if the standardized test statistic is less than \(- 1.96\).

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Definitions:

Shaded Region

In graphical representations, the area that is marked or colored to highlight a particular portion of the space, often used to represent solutions or subsets in inequality representations.

Inequality

A mathematical statement that expresses the non-equality between two values or expressions.

Shaded Region

The part of a diagram or graph that is marked or colored to indicate it is distinct or to represent a particular value or condition.

Inequality

A mathematical statement indicating that two expressions are not equal in value, often involving symbols like >, <, ≥, or ≤.