## Binomial Proportion Confidence Interval Questions and Answers

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With 80% confidence, for sample proportion 0.40 and sample size 24, what is the upper confidence limit with 2 decimal places?

A researcher obtained a sample of size 16 from a normal population with unknown mean and variance. A graduate student constructed a 95% confidence interval for the population mean and for the popul...

A recent poll of 500 registered Democrats found that 315 of them worry a great deal about the environment. (a) Make a 95% confidence interval for the proportion of all Democrats who think that cl...

In a sample of 375 college seniors, 307 responded positively when asked if they have spring fever. Based upon this, compute a 90% confidence interval for the proportion of all college seniors who h...

A survey showed that 980 of the 1500 adult respondents believe in global warming. (a) Construct a 99% confidence interval estimate of the proportion of adults believing in global warming. (Round t...

With 80% confidence, for a sample proportion of 0.40 and sample size 29, what is the upper confidence limit with with 2 decimal places?

A company is producing cylindrical blocks for a children's toy. The average diameter of a block is 13 cm. The estimated standard deviation of the blocks is 1.1 cm. Samples of 25 blocks are inspecte...

If we were researching some aspect of a population, and the sample proportion is 25% with a margin of error of 4% at the 95% confidence level. Does this mean that there is 95% chance that the popul...

The standard deviation of a normal population is 10. You take a sample of 25 items from this population and compute a 95% confidence interval. In order to compute the confidence interval, you will...

A random sample of 10 items is taken from a normal population. The sample had a mean of 82 and a standard deviation is 26. What is the appropriate 99% confidence interval for the population mean?

An airline research department measures the weight of a randomly selected 400 unaccompanied luggage bags which were checked in various airports across Australia. It is found the sample mean and sam...

With 80% confidence, for sample portion 0.42 and sample size 25, what is the upper confidence limit with 2 decimal places?

The owner of a coffee shop has found that the average amount spent by 25 customers at the shop is $9.70. Based on a large number of similar studies, it is known that the variance for the amount spe...

If sample mean is 85, population standard deviation is 8 and sample size is 64, construct a 95% confidence interval estimate for the population mean.

Anystate Auto Insurance Company took a random sample of 384 insurance claims paid out during a 1-year period. The average claim paid was $1,550. Assume sigma = $234. A) Find a 0.90 confidence inter...

A sample of 25 general practicians (GPs) in Adelaide hospitals were surveyed and it was found that the average time they had spent with a patient was 17.3 minutes. Based on a large number of simila...

In a recent survey of gun control laws, a random sample of 1000 women showed that 65% were in favour of stricter gun control laws. In a random sample of 1000 men, 60% favoured stricter gun control...

Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 61...

In a poll, 396 out of 825 New York voters surveyed indicated that they approve of the job DeBlasio has done as mayor. Make a 99% confidence interval for the percentage of all New York voters who wo...

In a survey, 598 out of 1,399 US adults said they drink at least 4 cups of coffee a day. Find a point estimate (P) for the population proportion of US adults who drink at least 4 cups of coffee a d...

A recent survey of 35,101 randomly selected US adults studied the religious affiliation of Americans. The survey interviewed 245 people in Maine. Suppose that this is a simple random sample of adul...

If n = 190 and p-hat = 0.26, find the margin of error at a 90% confidence level.

In a survey, 81 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $38 and standard deviation of $8. Construct a confiden...

A random sample of 90 scores on this test had a mean of 76.6. The standard deviation of test scores on a certain achievement test is 10.9 . Based on this sample, find a 90% confidence interval for...

In a recent poll of 350 likely voters, 42% of them preferred the incumbent candidate. Which of the following would be closest to the margin of error of this statistic? (a) 2.6%. (b) 3.7%. (c) 4.2%....

A poll is taken in which 366 out of 525 randomly selected voters indicated their preference for a certain candidate. (a) Find a 99 99% confidence interval for p. (b) Find the margin of error for...

A media research group uses samples of 6500 households to rank TV shows. The group reported that a news show had 14% of the audience. What is the 95% confidence interval for this result?

In a recent 2015 ABC News/Washington Post poll, 1,016 adults nationwide answered the question, "Overall, do you support or oppose allowing gays and lesbians to marry legally?" Of the respondents, 6...

A marketing research company desires to know the mean consumption of meat per week among males over age 35. A sample of 271 males over age 35 was drawn and the mean meat consumption was 4.1 pounds....

A randomly selected sample of 100 voters in Metropolis resulted in 75 stating they intend to vote for Bertha for Mayor. Estimate the proportion of votes that she would get from the population for a...

A local health center noted that in a sample of 400 patients, 80 were referred to them by the local hospital. a. Provide a 95% confidence interval for all the patients who are referred to the hear...

A sample of managers was taken, and they were asked whether or not they usually take work home. The responses of these managers are given below, where "Yes" indicates they usually take work home a...

Explain the meaning of a poll that says 32% of Canadians approve of Justin Trudeau's Liberal Party's policies, with a margin of error of 3%, 19 times out of 20.

A random sample of 20 submissions are shown. 13, 10, 14, 8, 13, 10, 13, 13, 10, 9, 10, 14, 9, 14, 13, 12, 12, 8, 12, 8 On the basis of this data: a. Find a 95% confidence interv...

Construct the indicated confidence interval for the difference between populations for both and instagram assume that the are independent and the have been randomly sleeted.

A simple random sample of 800 elements generates proportion p-(bar) =.70. i. Provide a 95% confidence interval for the population proportion.

The human height is the distance from head to toe. When populations share a genetic background and other environmental factors such as diet, the average height is frequently characteristic within a...

Using data from 2005, 2008 predict, using a 95% confidence interval, the number of Bachelor's degrees earned in the field of Mathematics and Statistics for 2010. Field of study 1980 1990 2000 2003...

Suppose that in a sample of size 100, we obtain p(1) = 0.438 and p(2) = 0.145. a. Assuming that the data were generated from an AR(1) model, construct approximate 95% confidence intervals for both...

If the sample mean is 100, z = 1.85 and sigma_{bar x} = 20, what is the interval estimate for population mean? Also what is the level of confidence?

In a sample of 57 temperature readings taken from the freezer of a restaurant, the mean is 29.6 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interv...

The human resources department of a very large organisation is trying to determine the proportion of all employees that are satisfied with their current position. They randomly select 81 employees...

Suppose we have independent random samples of size n_1 = 420 and n_2 = 510. The proportions of success in the two samples are p_1 = .38 and p_2 = .43. Find the 99% confidence interval for the diffe...

The following proportion is based on a survey response. For the following proportion, use the +/- 2 shortcut to determine the 95% confidence interval. Of the individuals in a survey, 0.40 still liv...

The following proportion is based on a survey response. For the following proportion, use the +/- 2 shortcut to determine the 95% confidence interval. When asked if marijuana should be legal or ill...

The following proportion is based on a survey response. For the following proportion, use the +/- 2 shortcut to determine the 95% confidence interval. When asked if they are a government employee,...

Express the confidence interval (0.080, 0.150) in the form of hat p - E < p < hat p + E.

The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future. The survey results showed that 1760 of the respo...

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best point estimate for p, the margin of error, and the confidence interval....

Of 54 bank customers depositing a check, 17 received some cash back. Construct a 90% confidence interval for the proportion of all depositors who ask for cash back. (Round answers to 4 decimal plac...

In a survey of 2,255 randomly selected US adults (age 18 or older), 1,787 of them use the Internet regularly. Of the Internet users, 1,054 use a social networking site. Find a 90% confidence inter...

Out of 400 people sampled, 184 preferred Candidate A. Based on this, estimate what proportion of the entire voting population (p) prefers Candidate A. Use a 99% confidence level, and give your answ...

Are you likely to purchase an item promoted by a celebrity on a social media site? According to a survey, 26 % of social media users have made such a purchase. Suppose that the survey had a samp...

In a distribution of fingernail length where n = 196, population standard deviation = 7 and x-bar = 0.75, compute a 92% Interval Estimate and determine if a nail is 1.87 long, will it be within the...

In 2012 GSS respondents were asked if they were afraid to walk in their neighborhood at night and could respond yes or no. Approximately 34% (445 of 1,300) responded they were afraid. Calculate and...

In 2013, Gallup conducted a poll and found a 90% confidence interval of the proportion of Americans who believe it is the government's responsibility for health care. Give the statistical interpret...

269 randomly selected people were surveyed to determine if they own a tablet. 150 owned a tablet. Calculate the EBP using a 95% Confidence Level.

Lisa's science fair project was to estimate the mean amount of chemicals in her city's water supply. At first, she had decided to use a random sample of 15 observations. But her teacher asked her t...

A random sample of families was taken in order to estimate the relation between fertility and level of education (measured in number of years). A confidence interval needs to be constructed for the...

According to a survey with 900 males, 13 % are left handed. a. Construct a 97.5 % confidence interval for population proportion of all males who are left handed. b. If both the sample size and...