8.71 Effect of the sample size
Refer to the previous exercise. Similar results from a smaller number of students may not have the same statistical significance. Specifically, suppose that 124 of 136 men surveyed were employed and 106 of 122 women surveyed were employed. The sample proportions are essentially the same as in the earlier exercise.
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(a) . The data show no significant difference between the proportions of male and female students employed during the summer. (b) The smaller sample sizes are not big enough to detect the practical difference we observed in the previous exercise.