Use the Two-Proportions Z-Test to Perform the Required Hypothesis Test

question 45

Essay

Use the two-proportions z-test to perform the required hypothesis test. Assume that independent simple randomsamples have been selected from the two populations. Use the critical-value approach.
-A report on the nightly news broadcast stated that 15 out of 112 households with pet dogs were burglarized and 21 out of 187 without pet dogs were burglarized. At the 5% significance level, do the data provide sufficient evidence to conclude that households with pet dogs are at less risk of being burglarized?

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Definitions:

Quantified Focus

The emphasis on measurable or quantifiable aspects of a subject, often employing statistics and data analysis to understand and assess phenomena.

Best Means

The most efficient and effective ways or methods to achieve a specific end or goal, often discussed in strategic and decision-making contexts.

Controlling Uncertainty

Efforts or strategies employed to manage or mitigate the unpredictability inherent in various aspects of life and decision-making processes.

Patrimonialism

A form of governance where all power flows directly from the leader, typically without a clear distinction between public and private realms.