A New Apparatus Has Been Devised to Replace the Needle $.07$

question 45

Essay

A new apparatus has been devised to replace the needle in administering vaccines. The apparatus, which is connected to a large supply of vaccine, can be set to inject different amounts of the serum, but the variance in the amount of serum injected to a given person must not be greater than $.07$ to ensure proper inoculation. A random sample of 25 injections was measured. Suppose the $p$ -value for the test is $p = .0031$ . State the proper conclusion using $\alpha = .01$ .

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Definitions:

Methane Emissions

The release of methane, a potent greenhouse gas, into the atmosphere from various sources.

Bail Project

A non-profit organization aiming to mitigate incarceration rates through the use of bail funds to support individuals who cannot afford bail.

Mass Incarceration

The substantial increase in the number of incarcerated individuals in the prison systems of certain countries, particularly the United States.

Racial Disparity

The significant differences in treatment or outcomes between racial or ethnic groups.