Suppose That a Manufacturer Is Testing One of Its Machines $97 \%$

question 20

Multiple Choice

Suppose that a manufacturer is testing one of its machines to make sure that the machine is producing more than $97 \%$ good parts $\left( \mathrm { H } _ { 0 } : p = 0.97 \right.$ and $\left. \mathrm { H } _ { \mathrm { A } } : p > 0.97 \right)$ . The test results in a $P$ -value of $0.122$ . Unknown to the manufacturer, the machine is actually producing $99 \%$ good parts. What probably happens as a result of the testing?

• A) They reject \(\mathrm { H } _ { 0 }\), making a Type I error.
• B) They fail to reject \(\mathrm { H } _ { 0 }\), making a Type II error.
• C) They correctly reject \(\mathrm { H } _ { 0 }\).
• D) They correctly fail to reject \(\mathrm { H } _ { 0 }\).
• E) They fail to reject \(\mathrm { H } _ { 0 }\), making a Type I error.

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Definitions:

Nurture

The influence of external factors like environment, education, and social experiences on the development of an individual's behaviors and traits.

Inherited

Passed down genetically from one generation to another, referring to traits or conditions determined by one's genes.

Nature-nurture Debate

The nature-nurture debate discusses the relative importance of an individual's innate qualities versus personal experiences in determining or causing differences in physical and behavioral traits.

Evolutionary Psychology

A scientific approach in studying psychological foundations within the natural and social sciences, leveraging contemporary evolutionary perspectives.