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Suppose That the Study in Problem #2 Was Performed with a Random

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Essay

Suppose that the study in problem #2 was performed with a random sample of n=121n = 121 patient contacts where a plain ring was worn, and 40 of these patient contacts resulted in bacterial transmission.
a) Describe the shape, center, and spread of the sampling distribution of p^\hat { p } if the null hypothesis Ho:p=0.25H _ { o } : p = 0.25 were true.






b) Is there convincing evidence that the null hypothesis is not true, or is p^\hat { p } consistent with what you would expect to see if the null hypothesis were true? Carry out a hypothesis test to answer this question.


Definitions:

Bottom-Up Processing

An approach to information processing that starts with the sensory input and builds up to the final perception in a step-by-step process.

Sensory Receptors

Specialized cells or structures in the body that detect changes in the environment and convey information to the nervous system.

Optic Nerve

The nerve that transmits visual information from the retina to the brain.

Cerebral Cortex

The cerebral cortex is the outer layer of the cerebrum in the brain, playing a key role in consciousness, thought, emotion, reasoning, language, and memory.

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