Question

6.138 (a) In a taste test, compare the proportion of tasters who prefer one brand of cola to the pro- portion who prefer the other brand. (b) Compare the proportion of males who voted in the last election to the proportion of females who voted in the last election. (c) Compare the graduation rate (proportion to graduate) of students on an athletic scholarship to the graduation rate of students who are not on an athletic scholarship. (d) Compare the proportion of voters who vote in favor of a school budget to the proportion who vote against the budget.

Answer 1

Answer--
(a) This compares two proportions (one brand of cola vs the other brand) drawn from the same group (tasters). The methods of this section do not apply to this type of difference in proportions.
(b) This compares the proportion who voted using two different groups (males vs females). The methodsmethods of this section are appropriate for this type of difference in proportions.
(c) This compares the proportion who graduate using two different groups (athletes and non-athletes). The methods of this section are appropriate for this type of difference in proportions.
(d) This compares two proportions (proportion in favor vs proportion opposed) drawn from the same group (voters). The methods of this section do not apply to this type of difference in proportions.