The Medical Field of Pediatrics Has Consistently Attracted a Large $\hat{ p}$

question 11

Essay

The medical field of pediatrics has consistently attracted a large number of women. The challenge of balancing a personal and professional life is of particular concern to women, and one possible solution is to take a part-time position. A survey of female pediatric residents inquired about the barriers to seeking part-time or reduced-hours employment in the field of pediatrics. Out of 235 women who responded, 153 cited loss of income and 101 cited reduction in benefits as potential barriers.
-Based on what you know about the sampling distribution of $\hat{ p}$ , is it reasonable tothink that this estimate is within 0.05 of the actual value of the population proportion?
Explain why or why not.

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Definitions:

Incentives

Rewards or motivations provided to encourage specific actions or behaviors.

Rewards

Positive reinforcement given to encourage certain behaviors or achievements.

Extrinsic Motivation

The drive to perform or engage in activities due to external rewards or pressures rather than personal satisfaction.

Intrinsically Motivated

Being driven by internal rewards, such as personal satisfaction or the joy of doing something, rather than by external incentives.