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You Have Been Asked to Observe the Office Manager at Wolf

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You have been asked to observe the office manager at Wolf Mountain Christian School to estimate the proportion of time she spends handling visitors to the school who stop by the office. Your 50 observations have revealed the following:
You have been asked to observe the office manager at Wolf Mountain Christian School to estimate the proportion of time she spends handling visitors to the school who stop by the office. Your 50 observations have revealed the following:     (a) Based on the preliminary data, calculate the proportion of time she spends handling visitors to the school who stop by the office. (b) Calculate the sample size needed to estimate the proportion of time she spends handling visitors to the school who stop by the office. Assume a 95% confidence that the results will lie within 5% of the true value.
(a) Based on the preliminary data, calculate the proportion of time she spends handling visitors to the school who stop by the office.
(b) Calculate the sample size needed to estimate the proportion of time she spends handling visitors to the school who stop by the office. Assume a 95% confidence that the results will lie within 5% of the true value.


Definitions:

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Male

A biological sex characterized by the production of small, mobile gametes, typically possessing XY chromosomes in many species.

Coat Color

The color of an animal's fur, scales, skin, or feathers, which can result from a combination of genetic, environmental, and developmental factors.

Alleles

Alleles are variations of a gene that occur on the same place on a chromosome. These variations contribute to the diversity of traits seen in organisms.

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