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

question 18

Essay

Suppose that the study in problem #2 was performed with a random sample ofn =121patient contacts where a plain ring was worn, and 40 of these patient contactsresulted in bacterial transmission.
a) Describe the shape, center, and spread of the sampling distribution of $\hat{p}$ if the nullhypothesis Hpo : = 0.25 were true.
b) Is there convincing evidence that the null hypothesis is not true, or is $\hat{p}$ consistentwith what you would expect to see if the null hypothesis were true?
Carry out ahypothesis test to answer this question.

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Definitions:

Individual

A single human being as distinct from a group, class, or family.

Rousseau

Jean-Jacques Rousseau, an 18th-century philosopher who focused on the importance of nature, the critique of modernity, and the concept of the social contract influencing political theory.

General Will

A concept in political philosophy referring to what is in the best interest of the public or society as a whole, famously discussed by Rousseau.

Positive Freedom

The possession of the power and resources to fulfill one's own potential, as opposed to merely being free from restraint.