Find the Value of the Test Statistic $z$ Using $z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }$

question 100

Multiple Choice

Find the value of the test statistic $z$ using $z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }$ . The claim is that the proportion of drowning deaths of children attributable to beaches is more than $0.25$ , and the sample statistics include $n = 696$ drowning deaths of children with $30 \%$ of them attributable to beaches.

• A) \(- 2.88\)
• B) \(- 3.05\)
• C) \(2.88\)
• D) \(3.05\)

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Definitions:

Siblings

Brothers, sisters, or both, who share at least one common parent.

Pakistani

Relating to Pakistan or its people, a South Asian country known for its diverse cultures, languages, and history of civilization.

First-Cousin Marriages

Marriages between individuals who have one set of grandparents in common, legal in some cultures and regions, while prohibited in others due to concerns about genetic risks.

Britain

An island in the North Atlantic which constitutes the major part of the United Kingdom, encompassing England, Scotland, and Wales.