Provide an Appropriate Response $\mathrm { z }$ , to Test the Hypothesis That

question 50

Multiple Choice

Provide an appropriate response.
-Find the standardized test statistic, $\mathrm { z }$ , to test the hypothesis that $\mathrm { p } 1 < \mathrm { p } 2$ . Use $\alpha = 0.10$ . The sample statistics listed below are from independent samples.
Sample statistics: $\mathrm { n } _ { 1 } = 550 , \mathrm { x } _ { 1 } = 121$ , and $\mathrm { n } _ { 2 } = 690 , \mathrm { x } _ { 2 } = 195$

• A) \(- 2.513\)
• B) \(- 2.132\)
• C) \(- 0.985\)
• D) \(1.116\)

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Definitions:

F Ratio

A statistic used in ANOVA tests, comparing the variance between groups to the variance within groups to assess if there are any statistically significant differences.

Null Hypothesis

A hypothesis stating no significant difference or effect, serving as the default assumption in hypothesis testing.

Critical Value

A threshold value in hypothesis testing that separates the region where the null hypothesis is rejected from the region where it is not rejected.

Research Design

A detailed plan that addresses the methodology of a research study, including how data will be collected, analyzed, and interpreted.