Stat: estimate proportion

  • Thread starter okep
  • Start date
  • Tags
    Estimate
In summary, the sample size needed to estimate the proportion of likely voters who would vote for the candidate on election day, with a margin of error of 0.03 and a confidence level of 80%, is 456.
  • #1
okep
3
0

Homework Statement


A candidate wishes to estimate the proportion, among likely voters who would vote for her on election day, with 80% margin of error less than 0.03. What sample size should she use?
Answer: 456

Homework Equations


+/- Z[phat*qhat/sqrt(n)], Z = 1.28, phat = 0.5, qhat = 0.5


The Attempt at a Solution



0.03 = 1.28 sqrt[0.5*0.5/n]
0.03/1.28 = 0.5/sqrt(n)
0.0234 = 0.5/sqrt(n)
n = [0.5/0.0234]^2
n = 456

Is the above correct. It matches with the answer 456. I don't know how to delete this question.
 
Last edited:
Physics news on Phys.org
  • #2


Yes, your calculation is correct. To delete your question, you can click on the three dots next to the title of your post and select "Delete". Alternatively, you can contact a moderator for assistance.
 

1. What is a "Stat" in regards to estimating proportion?

A "Stat" is short for "statistic" and is a numerical summary of a set of data. In the context of estimating proportion, it refers to a summary measure of the relative frequency of a particular outcome compared to all possible outcomes.

2. What is the purpose of estimating proportion using "Stat"?

The purpose of estimating proportion using "Stat" is to make a reliable inference about the true proportion of a population based on a sample of data. This can help us make decisions and draw conclusions about a larger population without having to collect data from every individual in the population.

3. What are the key steps involved in estimating proportion using "Stat"?

The key steps in estimating proportion using "Stat" include: 1) determining the relevant population and sample, 2) collecting the necessary data, 3) calculating the sample proportion, 4) calculating the margin of error, and 5) constructing a confidence interval or conducting a hypothesis test.

4. What is the difference between point estimate and interval estimate when using "Stat" to estimate proportion?

A point estimate is a single value that is used to estimate the true proportion, while an interval estimate is a range of values that is likely to include the true proportion with a certain level of confidence. Point estimates are less informative and less reliable compared to interval estimates, which take into account the uncertainty of the estimation process.

5. How do you interpret the results of estimating proportion using "Stat"?

The results of estimating proportion using "Stat" are typically interpreted in terms of a confidence level, which is the probability that the true proportion falls within a specified interval estimate. For example, if the 95% confidence interval for the proportion of individuals who prefer chocolate ice cream is 0.60 to 0.70, we can say with 95% confidence that the true proportion falls within this range. We can also compare the estimated proportion to a hypothesized value or to the proportion in a different population to make further inferences.

Similar threads

  • Calculus and Beyond Homework Help
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
6
Views
2K
  • Calculus and Beyond Homework Help
Replies
3
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
5K
  • Calculus and Beyond Homework Help
Replies
6
Views
1K
  • Set Theory, Logic, Probability, Statistics
Replies
5
Views
1K
  • Calculus and Beyond Homework Help
Replies
1
Views
1K
  • Calculus and Beyond Homework Help
Replies
2
Views
1K
  • Calculus and Beyond Homework Help
Replies
10
Views
2K
  • Calculus and Beyond Homework Help
Replies
1
Views
3K
Back
Top