One method of human locomotion that appears to have no function except to express joy is skipping, a skill usually learned in early and middle childhood. In surveys gathered over a 3-year period, University students were asked, "Approximately how long ago did you last spontaneously skip?" The total sample sizes and the numbers who responded "Less than 1 week ago" are given in the table below:
a)Construct a 95% confidence interval for the difference in the population proportions of males and females responding "Less than 1 week." Assume that it is reasonable to regard these samples as representative of the corresponding populations.
b)Does there appear to be a difference between the proportions of men and women responding "Less than 1 week?" Provide statistical justification for your answer.
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