One method of human locomotion that appears to have no function except to expressjoy is hopping, a skill usually learned in early and middle childhood. Each person ina random sample of female students and a random sample of male students at a largemiddle school was asked, "Approximately how long ago did you last spontaneouslyhop?
" The total sample sizes and the numbers who responded "Less than 1 weekago" are given in the table below:
a) Construct a 95% confidence interval for the difference in the populationproportions of males and the proportion of females at this school who wouldrespond "2-3 weeks."
b) Referring to your work in part (a), does there appear to be a difference betweenthe population proportions of men and women responding "2-3 weeks?
" Providestatistical justification for your answer.
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