Sampling Distribution of a Proportion (Examples)
- Suppose that incumbents typically receive 57% of the vote in
elections.
- What is the probability that in a random sample of 600
voters, less than 52% say they will vote for the incumbent?
- If you sampled 600 voters and found that 52% or less said they would vote
for the incumbent, what is your interpretation? What inference might you draw?
- Suppose a pharmaceutical company claims that 98% of their prescription
drugs contain the appropriate amount of the active ingredient. A sample of 750
servings (tablets) is measured and 720 of those have the correct amount of the
active ingredient.
- What is the probability of observing a sample such as this or more extreme?
- What is your opinion about the claim of the company?
- After your analysis, the company changes and says that only 95% of the
tablets contain the correct amount of the active ingredient. Do you agree?
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