One method of human locomotion that appears to have no function except to expressjoy is skipping, 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 spontaneouslyskip?
" 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 proportions of malesand the proportion of females at this school who would respond "Less than 1week."b) Referring to your work in part (a), does there appear to be evidence of a differencein the population proportions of males and females at this school who wouldrespond "Less than 1 week?
" Provide appropriate statistical justification for youranswer.
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