A sample proportion is the percent of surveyed people who give a particular answer. With a random sample, use that percent to estimate the same proportion in the whole group, then enter the percent of the group's size in Desmos. The key is identifying the whole group: the surveyed members aren't the base when the question asks for a count for everyone.
Hints
- Hint 1
A random sample is a group chosen by chance from a larger group. Its percent planning to attend can estimate the percent for all club members, even though the number surveyed isn't stated.
- Hint 2
In a percent-of calculation, the number after “of” is the whole you want a part of. The question asks for a count from the entire club. Which number represents that whole?
Step-by-step
Estimate from the sample percent
Step 1Apply the sample percent to the whole club
The surveyed members are a random sample, so use their response rate to estimate the rate for all club members. The whole is the entire club, not the unstated number surveyed. Apply the sample percent to the whole group when estimating a population count. So write:
- Step 2
Calculate the estimated count
Type in Desmos. It displays , the estimated number of club members who plan to attend. The best estimate is members. Choice B.