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O One Method of Human Locomotion That Appears to Have

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O One method of human locomotion that appears to have no function except to express joy is hopping, a skill usually learned in early and middle childhood. Each person in a random sample of female students and a random sample of male students at a large middle school was asked, "Approximately how long ago did you last spontaneously hop?" The total sample sizes and the numbers who responded "Less than 1 week ago" are given in the table below:
 Number responding "2-3 weeks"  Gender xn Males 104411 Females 71253\begin{array} { | l | c | c | } \hline{ \text { Number responding "2-3 weeks" } } \\ { \text { Gender } } & \boldsymbol { x } & \boldsymbol { n } \\\hline \text { Males } & 104 & 411 \\\text { Females } & 71 & 253 \\\hline\end{array}

a) Construct a 95%95 \% confidence interval for the difference in the population proportions of males and the proportion of females at this school who would respond "2-3 weeks." b) Referring to your work in part (a), does there appear to be a difference between the population proportions of men and women responding "2-3 weeks?" Provide statistical justification for your answer.


Definitions:

Camillo Golgi

An Italian physician and scientist known for his pioneering work in neurobiology; he discovered the Golgi apparatus, a critical cellular organelle.

Brain Cell Functioning

How neurons and glial cells in the brain operate to process information, support neuronal health, and maintain homeostasis.

Genetic Engineering

The direct manipulation of an organism's genes using biotechnology, enabling the addition, removal, or alteration of genetic material.

Human Condition

The characteristics, key events, and situations which compose the essentials of human existence, such as birth, growth, emotionality, aspiration, conflict, and mortality.

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