O One Method of Human Locomotion That Appears to Have

question 16

Essay

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:
$\begin{array} { | l | c | c | } \hline{ \text { Number responding "2-3 weeks" } } \\ { \text { Gender } } & \boldsymbol { x } & \boldsymbol { n } \\\hline \text { Males } & 104 & 411 \\\text { Females } & 71 & 253 \\\hline\end{array}$

a) Construct a $95 \%$ 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.

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Definitions:

Sensory Abilities

Sensory abilities are the faculties related to the reception and processing of sensory information from the environment through sight, hearing, smell, taste, and touch.

Visual Acuity

The sharpness or clarity of vision, typically measured by the ability to discern letters or numbers at a standardized distance.

Fertility

The natural capability to produce offspring, often influenced by health, age, and environmental factors.

Emerging Adulthood

A phase of life between adolescence and full-fledged adulthood, marked by exploration, instability, and self-focus, typically occurring from late teens to mid-twenties.