3. A gym has about 2000 members, 60% of whom are younger than 50 and 40% of whom are 50 and above. The gym wants to know about the percentage of members who attend yoga classes, so they separately survey 120 people who are under 50, and 80 people who are 50 and above, choosing a simple random sample in each case. They then calculate the percentage of people in each of the samples who support the policy. Suppose the percentage of people who attend yoga is, in reality, the same in the two age groups. The accuracy of the estimate for the younger group will be (circle one) better than similar to worse than the accuracy of the estimate for the older group. Justify your answer.
3. A gym has about 2000 members, 60% of whom are younger than 50 and 40% of whom are
50 and above. The gym wants to know about the percentage of members who attend yoga
classes, so they separately survey 120 people who are under 50, and 80 people who are 50
and above, choosing a simple random sample in each case. They then calculate the
percentage of people in each of the samples who support the policy.
Suppose the percentage of people who attend yoga is, in reality, the same in the two age
groups.
The accuracy of the estimate for the younger group will be (circle one)
better than similar to worse than
the accuracy of the estimate for the older group. Justify your answer.
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