Statistics

posted by .

A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice. Suppose that in fact the population proportion who feel this way is p=0.44.

A) Many opinion polls have a "margin of error" of about plus or minus 3%. What is the probability that an SRS of size 300 has a sample proportion p-hat that is within plus or minus 3%(plus or minus .03)of the population proportion p=.44? (show how you would do it using a graphing calculator)

b) Answer the same question for SRSs of sizes 600 and 1200. What is the effect of increasing the size of the sample?

I need the work shown but the answers are:
a) Find P(0.41 ¡Ü p(hat) ¡Ü 0.47)=P(123 ¡Ü X ¡Ü 141. Software gives 0.7309.

b) For n=600, software gives 0.8719. For n=1200, software gives 0.9663. Larger sample sizes are more likely to produce values of p-hat close to the true value of p.

  • Statistics -

    No

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Democrats vs. Republicans 2000 platform-- Question

    Which of the following best describes the difference between the Democratic and Republican party platforms in 2000 on the issue of school choice?
  2. statistics

    The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 50 students who took the exam is selected for …
  3. ap statistics

    an opinion poll asks a sample of 500 adults (an SRS) whether they favor giving parents of school age children vouchers that can be exchanged for education at any public or private school of their choice. Each school would be paid by …
  4. Statistics

    In a poll of 1,004 adults, 93% indicated that restaurants and bars should refuse service to patrons who have had too much to drink. Construct the 90% confidence interval for the proportion of all adults who feel the same way.
  5. Statistics

    1. The scores of students on the ACT college entrance examination in a recent year had a normal distribution with a mean of 18.6 and a standard deviation of 5.9. A simple random sample of 60 students who took the exam is selected for …
  6. Statistics

    “How would you describe your own physical health at this time?
  7. Statistics Math

    Pye and Associates recently conducted a survey to determine the percent of adult county residents who believe that students in public high schools should wear uniforms to school. The telephone poll of 325 adults found that 35% of the …
  8. Statistics

    . A 2003 Harris Poll of 993 randomly selected American adults found that 69% believed in capital punishment (death penalty). A sample size of 1010 American adults in 2000 found that 64% believed in capital punishment. Write the hypotheses …
  9. Statistics

    A Today/CNN/Gallup Poll of 1015 adults found that 13% approved of the job Congress was doing in 1995. Find the 95% confidence interval of the true proportion of adults who feel this way.
  10. statistics

    a private opinion poll is conducted for a politician to determine why proportion of the population favors decriminalizing marijuana possession. how large a sample is needed in order to be 90 percent confident that the sample proportion …

More Similar Questions