PS.IS.1.a

Describe the shape, center, and spread of the sampling distribution of a proportion within the context of a problem.

Example Problems
The Metro Cinema surveyed a random sample of 70 moviegoers about concession purchases.
Of the moviegoers surveyed,
49 said they buy popcorn. The cinema sells tickets to 2,100 patrons per week.
Based on the data, what is the most reasonable estimate for the number of weekly patrons who buy popcorn?
A group of randomly selected Lakeview neighborhood households were asked if they recycle regularly.
The table shows the results of the survey. There are
1500 households in Lakeview.

ResponseNumber of Households
Yes140
No60


Based on the data, what is the most reasonable estimate for the number of households in Lakeview that recycle regularly?
The Green Valley High School surveyed a random sample of 30 students about participation in after-school clubs.
Of the students surveyed,
18 said they participate in at least one club. The school has 600 students.
Based on the data, what is the most reasonable estimate for the number of students who participate in at least one club?
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