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.

---

Definitions:

Information

Data that is processed, organized, structured, or presented in a given context to make it meaningful and useful.

Ratio Data

A type of quantitative data that not only measures the magnitude but also allows for the comparison of differences and the calculation of ratios, having an absolute zero point.

Categorical Data

Data that can be categorized into groups or categories that are mutually exclusive, without any natural ordering.

Obtaining

The act of acquiring or getting something through effort or request.