Sampling Distribution of a Sample Proportion Worksheet with Answer Key

What's on the worksheet

1. Each line gives a population proportion p and a sample size n for random samples from a large population.
   n = 80,\ p = 0.15n = 500,\ p = 0.02n = 45,\ p = 0.7n = 64,\ p = 0.9n = 1{,}200,\ p = 0.38
2. A state's boat registry lists 24,600 registered boats, 8,118 of them sailboats (made-up numbers).
3. An animal rescue has five rabbits, two of them lop-eared, so the share of lop-eared rabbits is p = 0.4.
4. A survey firm takes random samples of 400 adults from a large country and records p, the share who speak a language other than the national language…
5. A school district has 48,000 families, and it will move its high school start time later if most families favor the change.
6. In a state with 2,600,000 homes, 24% of homes are heated by a heat pump (a made-up share).