Assume that there is a mayoral election coming up in a certain city and 55% of the voters in the city support a certain candidate. A sample of 334 voters is polled, and the proportion p? of voters who support the candidate is calculated. Find the probability that proportion of voters in the sample who support the candidate is within 5% of the assumed population proportion of 55%. Round your answer to 4 decimal places.
Added by Carolyn H.
Close
Step 1
We are given that the population proportion is 0.55 (55%). Show more…
Show all steps
Your feedback will help us improve your experience
Rashmi Sinha and 59 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Assume that there is a mayoral election coming up in a certain city and 37% of the voters in the city support a certain candidate. A sample of 547 voters is polled, and the proportion of voters who support the candidate is calculated. Find the probability that proportion of voters in the sample who support the candidate is within 4% of the assumed population proportion of 37%.
T. L.
Suppose that a particular candidate for public office is in fact favored by 47% of all registered voters in the district. A polling organization will take a random sample of 650 voters and will use p̂, the sample proportion, to estimate p. What is the approximate probability that p̂ will be greater than 0.5, causing the polling organization to incorrectly predict the result of the upcoming election? (Round your answer to four decimal places.)
David N.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD