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

question 4

Essay

Suppose that the study in problem #2 was performed with a random sample of $n = 121$ 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 $\hat { p }$ if the null hypothesis $H _ { o } : p = 0.25$ were true.






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

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Definitions:

X-linked Disorders

These are genetic conditions linked to mutations in genes on the X chromosome, often manifesting prominently in males.

Double-ovulate

The occurrence of releasing two eggs during a single menstrual cycle, which can lead to fraternal twins if both eggs are fertilized.

X-linked

A term referring to genes or genetic conditions that are associated with the X chromosome, often affecting males more frequently or severely because they have only one X chromosome.

Dominant-recessive

describes a genetic pattern in which one allele overshadows the effects of another, recessive allele in determining a trait's appearance.