Question

An exit poll at an election of 1000 voters shows that 540 voted for Homer Simpson. Of course, Homer is guaranteed to win the election if more than half of the population voted for him (or the population proportion p> 0.5). Can Homer claim victory at the 0.05 level of significance? What is the p-value of the test statistic? (9 points)
0 0
Add a comment Improve this question Transcribed image text
Answer #1

Homer is guaranteed to win the election if more than half of the population voted for him.

let p0 be the population proportion of voters who voted from Homer. The total number of voters, n=1000,

We want to test the following hypothesis,

Ho : p = 0.5 vs H1: p > 0.5

Here, level of significance = 0.05

Το tesk ths hypothese, we uw 군test. Th test statithcs can be ufinado duf Ho ん He ne Compuにd 군-test staris fic vouw -2.5298Now,P abore test es given a Pt 2 52981 ince stso na evtolu n ce against the nuu Hunu, Homur can claimm vicbony at o os

Add a comment
Know the answer?
Add Answer to:
An exit poll at an election of 1000 voters shows that 540 voted for Homer Simpson....
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • According to an exit poll of the 2010 California gubernatorial election, 53.1% of the 3889 4....

    According to an exit poll of the 2010 California gubernatorial election, 53.1% of the 3889 4. voters sampled reported voting for Brown. Use a 0.05 conidence level to test the claim that the population proportion who voted for Brown was largerthan 50%. (This claim would mean our sample would predict that Brown won the election) Ho

  • Only 18% of registered voters voted in the last election. Will voter participation increase for the...

    Only 18% of registered voters voted in the last election. Will voter participation increase for the upcoming election? Of the 352 randomly selected registered voters surveyed, 77 of them will vote in the upcoming election. What can be concluded at the α= 0.05 level of significance? For this study, we should use Select an answer t-test for a population mean or z-test for a population proportion The null and alternative hypotheses would be:    H0:? μ p  Select an answer ≠...

  • Only 14% ofregistered voters voted in the last election will voter participation change for the upcoming election? Of the 369 randomly selected registered voters surveyed, 63 of them will vote in...

    Only 14% ofregistered voters voted in the last election will voter participation change for the upcoming election? Of the 369 randomly selected registered voters surveyed, 63 of them will vote in the upcoming election. What can be concluded at the α-0.01 level of significance? a. For this study, what sampling distribution would be used? Select an answer b-The null and alternative hypotheses would be: (please enter a decimal) Hİ : [pvi-[ (Please enter a decimal) c. The test statistic? d....

  • In a certain election, 49% of the women voters voted for Candidate A, while only 48%...

    In a certain election, 49% of the women voters voted for Candidate A, while only 48% of men voters voted for Candidate A. An exit poll of 234 women and 194 men was conducted. Let [^(p)]1 and [^(p)]2 denote sample proportions of women and men voters respectively who voted for Candidate A. Answer all the questions below (where appropriate) as a fraction not as a percentage. What is the expected value of [^(p)]1? [Answer to two decimal places.] Tries 0/5...

  • 1.) Voting records show that 61% of eligible voters actually did vote in a recent presidential...

    1.) Voting records show that 61% of eligible voters actually did vote in a recent presidential election. In a survey of 1002 people, 70% said that they voted in that election. Use the survey results to test the claim that the percentage of all voters who say that they voted is equal to 61%. Test the claim by constructing an appropriate confidence interval.    What are the null and alternative hypotheses? What is the value of = significance level? Is the...

  • 9. According to an ent poll for an election, 54.6% of the sample size of 837...

    9. According to an ent poll for an election, 54.6% of the sample size of 837 reported voting for Mayor McCheese. Is this enough evidence to predict who won the election? At α : 0.05, test that the population pro- portion who voted for Mayor McCheese was 0.50 against the alternative that it differed from 0.50 a. Check the assumptions for a large sample test. b. What is the null hypothesis? . a. Ho :p>0.5 .b. Ho:p< 0.5 c. Ho:p...

  • Suppose that in the exit poll from the state of Florida during the year 2000 presidential...

    Suppose that in the exit poll from the state of Florida during the year 2000 presidential elections in the United States, the pollsters recorded only the votes of the two candidates who had any chance of winning, Democrat Albert Gore and Republican George W. Bush. The polls close at 8:00 PM. The number of votes cast for the Republican in the poll is x 7. n = 765. 407.The sample size is Estimate the population proportion of republican voters with...

  • A politician claims that 55% of the voters in her district will vote for her in...

    A politician claims that 55% of the voters in her district will vote for her in an upcoming election. A poll of 680 random voters in that district indicates that 340 would vote for her. Use this data to calculate the appropriate test statistic to test her claim at the 1% significance level. Do not round intermediate calculations. Enter your answer as a decimal rounded to two places. Indicate a negative value with a "–" sign directly before the value....

  • A random sample of 1000 voters registered in the state of Montana showed that 490 voted...

    A random sample of 1000 voters registered in the state of Montana showed that 490 voted in the last general election. A random sample of 800 voters in the state of Arizona showed that 368 voted in the most recent general election. Do these data indicate that the population percentage of voter turnout in Arizona is lower than that in Montana? 11. Choose the appropriate null and alternate hypotheses. a. Null: The percentage of people who voted in Arizona and...

  • 3. A candidate in next month's election decides to take a poll to determine the chances of winning the election. 1180 r...

    3. A candidate in next month's election decides to take a poll to determine the chances of winning the election. 1180 randomly selected voters are asked how they will vote. 623 of those asked said they will vote for the candidate. Perform a .05 level test Но: Test Statistic: На: p-value Conclusion (Circle Answer): Fail to Reject Ho Reject Ho

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
Active Questions
ADVERTISEMENT