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

question 42

Multiple Choice

Find the value of the test statistic $z$ using $z = \frac { \hat { p } - p } { \sqrt { \frac { p q } { n } } }$ .
A claim is made that the proportion of children who play sports is less than $0.5$ , and the sample statistics include $n = 1320$ subjects with $30 \%$ saying that they play a sport.

• A) \(14.53\)
• B) \(29.66\)
• C) \(- 29.66\)
• D) \(- 14.53\)

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Definitions:

Port of Contact

A port or harbor where goods, services, and cultural exchanges occur, serving as a point of entry and interaction for different regions or countries.

American Traders

Individuals or entities involved in the commerce of goods and services within the United States, playing a role in both domestic and international trade.

Distinctly American Character

Unique qualities or cultural aspects that define the identity of the United States, including individualism, freedom, and diversity.

Agriculture

The science, art, and business of cultivating soil, producing crops, and raising livestock; it is a key sector for food production and rural livelihoods.