Question

A poll on a certain policy reports 62% approval margin with an error of 4%. What...

A poll on a certain policy reports 62% approval margin with an error of 4%. What is the confidence interval for this poll?

Homework Answers

Answer #1

Solution :

Point estimate = sample proportion = = 62% = 0.62

1 - = 1 - 0.62 = 0.38

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

Margin of error = E = 4% = 0.04

A 95% confidence interval for population proportion p is ,

- E < p < + E

0.62 - 0.04 < p < 0.62 + 0.04

0.58 < p < 0.66

At 95% the confidence interval for this poll is : (0.58 , 0.66) or (58% , 66%)

Know the answer?
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
Similar Questions
A poll of 2,256 likely voters was conducted on the president’s performance. Approximately what margin of...
A poll of 2,256 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.) Margin of error (b) The poll showed that 46 percent approved the president’s performance. Construct a 90 percent confidence interval for the true proportion. (Round your answers to 4 decimal places.) The 90% confidence interval to (c) Would you agree that the percentage of...
A newspaper reports that the​ governor's approval rating stands at 47​%. The article adds that the...
A newspaper reports that the​ governor's approval rating stands at 47​%. The article adds that the poll is based on a random sample of 1063 adults and has a margin of error of 3 %. What level of confidence did the pollsters​ use? options are: 90, 95, 98, or 99%
A poll of 2,237 likely voters was conducted on the president’s performance. Approximately what margin of...
A poll of 2,237 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%?
What confindence level did the pollsters use? A newspaper reports that the governor's approval rating stands...
What confindence level did the pollsters use? A newspaper reports that the governor's approval rating stands at 60%. The article adds that the poll is based on a random sample of 1,476 adults and has a margin of error of 2.5%. a) 90 b) 95 c) 98 d) 99 e) Not enough information given
A TV news reporter says that a proposed constitutional amendment is likely to win approval in...
A TV news reporter says that a proposed constitutional amendment is likely to win approval in the upcoming election because a poll of 599 likely voters indicated that 52 ​% would vote in favor. The reporter goes on to say that the margin of error for this poll was 4 ​%. Complete parts a and b below. ​a) Explain why the poll is actually inconclusive. Choose the correct answer below. A. The poll is inconclusive because​ 50% is included in...
a recent poll of 1000 people found trump’s approval rating of 35%. find a 95% confidence...
a recent poll of 1000 people found trump’s approval rating of 35%. find a 95% confidence interval for his approval rating.
What is the margin of error for a poll with a sample size of 1550 people?...
What is the margin of error for a poll with a sample size of 1550 people? Round your answer to the nearest hundredth of a percent.
In a recent poll of 1200randomly selected​ adults, a​ president's approval rating stood at 45%. ​a)...
In a recent poll of 1200randomly selected​ adults, a​ president's approval rating stood at 45%. ​a) Make a 95​% confidence interval for his approval rating by all adults in the country. ​b) Based on the confidence​ interval, test the null hypothesis that 45​% of the country approved of the way he was handling his job at that time.
Find the margin of error and 95% confidence interval for the survey result described. According to...
Find the margin of error and 95% confidence interval for the survey result described. According to a poll of 1070 people, about 32% of Americans keep a dog for protection. margin of error= __% confidence interval from __% to ___%
The margin of error means that if this poll were conducted many times, we would expect...
The margin of error means that if this poll were conducted many times, we would expect that at least 95% of the time the actual number of people in the population that would give a particular response is somewhere between  - the margin of error and  + the margin of error.  - the margin of error and  + the margin of error. 3.On December 18, 2015, an organization called Public Policy Polling released the results of a poll with 532 responses. Of those respondents,...