A Researcher Selected a Sample of 50 Residents from Each $\alpha = 0.05$

question 71

Multiple Choice

A researcher selected a sample of 50 residents from each of three different cities to determine if they were willing to participate in a medical experiment. At $\alpha = 0.05$ , test the claim that the proportions who will participate are equal.
$\begin{array} { l c c c } \text { Residents } & \text { City 1 } & \text { City } 2 & \text { City } 3 \\ \text { Willing to participate } & 19 & 15 & 22 \\ \text { Not willing to participate } & 31 & 35 & 28 \\ \text { Total } & 50 & 50 & 50 \end{array}$

• A) There is evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109
• B) There is not evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
• C) There is evidence to reject the claim that the proportions are equal because the test value 2.109 < 5.991
• D) There is not evidence to reject the claim that the proportions are equal because the test value 5.991 > 2.109

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Definitions:

Control Chart

A graphical tool used in quality control processes to monitor changes and variations in a process over time.

Control Limits

Statistical boundaries set in process control that indicate the permissible range of variation for a process to remain in control.

Assignable Causes

Specific, identifiable factors that cause variation in a process or system, as opposed to random variation.

Type II Errors

A statistical error that occurs when a test fails to reject a false null hypothesis.