Question

In: Statistics and Probability

A poll taken before an election finds that 42 of 80 people asked favored the incumbent...

A poll taken before an election finds that 42 of 80 people asked favored the incumbent candidate. What is the 99% confidence interval for the proportion of voters that favor the incumbent?

Solutions

Expert Solution

Here to compute the Confidence Interval for population proportion we have to use z distribution i.e sampling Distribution for sample proportion as below,

The formula for 99% Confidence Interval for population proportion is given below,

The z critical value is calculated using Standerd normal z-table or using Excel.

The 99% Confidence Interval for population proportion is 38.1% & 66.9%.

Thank you.


Related Solutions

Problem 1 – Election poll    The incumbent governor of a province in Indonesia believes that...
Problem 1 – Election poll    The incumbent governor of a province in Indonesia believes that he will succeed in the upcoming regional election in winning more than 50% of the votes amongst the 13,324,525 registered voters. A random sample of 1,000 voters were selected. 510 people stated that they would vote for the governor. Estimate with 99% confidence the true proportion of voters who would vote for the governor. ​ a) You are recently hired as a junior data...
Problem 1 – Election poll The incumbent governor of a province in Indonesia believes that he...
Problem 1 – Election poll The incumbent governor of a province in Indonesia believes that he will succeed in the upcoming regional election in winning more than 50% of the votes amongst the 13,324,525 registered voters. A random sample of 1,000 voters were selected. 510 people stated that they would vote for the governor. Estimate with 99% confidence the true proportion of voters who would vote for the governor. ​ a) You are recently hired as a junior data analyst...
In the upcoming election the most recent poll, based on 750 respondents, predicts that the incumbent...
In the upcoming election the most recent poll, based on 750 respondents, predicts that the incumbent will be reelected with 62 percent of the votes. From the 750 respondents, how many indicated that they would not vote for the current Student Body President or indicated that they were undecided? In a research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the GPA of male students...
Satisfied?A poll taken by the General Social Survey in 2010 asked people in the United States...
Satisfied?A poll taken by the General Social Survey in 2010 asked people in the United States whether they were satisfied with their financial situation. A total of 478 out of 2038 people said they were satisfied. The same question was asked in 2014, and 698 out of 2532 people said they were satisfied. a. Construct a 95% confidence interval for the difference between the proportion of adults who said they were satisfied in 2014 and the proportion in 2010. b....
1. An opinion poll at MCC asked instructors if they favored a policy ending late registration....
1. An opinion poll at MCC asked instructors if they favored a policy ending late registration. Instructors were separated in the data by the division in which they taught. FavorOpposeUndecidedMSHP (math, science, and health professions)9223HSS (humanities and social science)27149ECTE (education, career, and technical education)2592Find the probabilities: a. That the instructor opposes the policy or is an ECTE instructor. b. That the instructor teaches in HSS and is opposed to the policy. c. That an instructor is not in favor of...
1. An opinion poll at MCC asked instructors if they favored a policy ending late registration....
1. An opinion poll at MCC asked instructors if they favored a policy ending late registration. Instructors were separated in the data by the division in which they taught. Find the probabilities: a. That the instructor opposes the policy or is an ECTE instructor. b. That the instructor teaches in HSS and is opposed to the policy. c. That an instructor is not in favor of the policy. d. That an instructor opposes the policy given that they teach in...
Morris Polling conducted a poll 6 months before an election in a state in which a...
Morris Polling conducted a poll 6 months before an election in a state in which a Democrat and a Republican were running for governor and found that 60% of the voters intended to vote for the Republican and 40% intended to vote for the Democrat. A poll conducted 3 months later found that 70% of those who had earlier stated a preference for the Republican candidate still maintained that preference, whereas 30% of these voters now preferred the Democratic candidate....
One month before an​ election, a poll of 610 randomly selected voters showed 54 % planning...
One month before an​ election, a poll of 610 randomly selected voters showed 54 % planning to vote for a certain candidate. A week later it became known that he had been nbsp a nbspjuvenile delinquent​, and a new poll showed only 53 ​% of 1090 voters supporting him. Do these results indicate a decrease in voter support for his ​candidacy? ​a) Test an appropriate hypothesis and state your conclusion. ​b) If you concluded there was a​ difference, estimate that...
One month before an​ election, a poll of 650 randomly selected voters showed 59% planning to...
One month before an​ election, a poll of 650 randomly selected voters showed 59% planning to vote for a certain candidate. A week later it became known that he had lied to avoid jury duty and a new poll showed only 57​% of 1010 voters supporting him. Do these results indicate a decrease in voter support for his ​candidacy? ​a) Test an appropriate hypothesis and state your conclusion. (z = (Round to two decimal places as​ needed.) ​b) If you...
One month before the election, a poll of 634 randomly selected voters showed 54% planning to...
One month before the election, a poll of 634 randomly selected voters showed 54% planning to vote for a certain candidate. A week later it became known that he had had an extramarital affair, and a new poll showed only 51% of 1010 voters supporting him. Do these results indicate a decrease in voter support for his candidacy? a. What is the value of x1? b. Calculate the value of the one tail test for 2 proportion(s). Round your answer...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT