If you wish to estimate the proportion of engineers who have studied probability theory and you...

If you wish to estimate the proportion of engineers who have studied probability theory and you
wish your estimation to be correct within 2% with probability 95% or more, how large the sample
you would take
(a) if you have no idea what the true proportion is, [Ans: 12500]
(b) if you are confident that the true proportion is less than 0.2. [Ans: 8000]

Solutions

Expert Solution

ANSWER ::

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

In 2016, the latest year for which Occupational Employment Statistics survey data are available, 6.9 million people were employed in the United States as scientists and engineers, accounting for 4.9% of total U.S. employment.

Given that

=2 %=2/100=0.02

probability p=95%=95/100=0.95

Manojponduru answered 1 year ago

Next > < Previous

Related Solutions

you are a travel agent and wish to estimate with 90% confidence in the proportion of...

you are a travel agent and wish to estimate with 90% confidence in the proportion of vacationers who use an online service or the internet to make travel reservations. your estimate must be accurate to within 3% of the population proportion a. find the minimum sample size needed to perform this estimation if you do not use any prior estimates for the sample proportion. b.find the minimum sample size needed to perform this estimation if you assume that a prior...

You are a travel agent and wish to estimate, with 98% confidence, the proportion of vacationers...

You are a travel agent and wish to estimate, with 98% confidence, the proportion of vacationers who use an online service or the Internet to make reservations for lodging. Your estimate must be accurate by 4% of the population proportion. (Please show your work) a.) If no preliminary estimate is available, find the minimum sample size needed. b.) Find the minimum sample size needed, using a prior study that found that 10% of the respondents said they used an online...

You are running a political campaign and wish to estimate, with 95% confidence, the proportion of...

You are running a political campaign and wish to estimate, with 95% confidence, the proportion of registered voters who will vote for your candidate. Your estimate must be accurate within 3% of the true population. Find the minimum sample size needed if 1) No preliminary estimate is available 2) Preliminary estimate gives p (hat) = 0.31 3) Compare your results

You are running a political campaign and wish to estimate, with 90% confidence the population proportion...

You are running a political campaign and wish to estimate, with 90% confidence the population proportion of voters who will vote for your candidate. Your estimate must be within 5% of the population proportion. Find the minimum sample size if: a. no preliminary estimate for p is given. b. A preliminary estimate for p-hat is 62%. Please show all work or if you used a TI 84 please explain the necessary steps to get the answer, thank you for the...

Suppose you wish to estimate a population proportion p based on sample of n observations. What...

Suppose you wish to estimate a population proportion p based on sample of n observations. What sample size is required if you want your estimate to be within .03 of p with probability equal to 0.90? a. 752 b. 423 c. 1,068 d. 1.529 e. none of these

We want to estimate the proportion of people who have or are carriers of hepatitis B...

We want to estimate the proportion of people who have or are carriers of hepatitis B in a certain country, using 90% confidence and with a desired margin of error of 1.5%. What size sample should be used if: a. no prior estimate of the desired proportion is known. (6 pts.) b. a pilot study suggests that the proportion is 6%

We wish to estimate the proportion of all Americas that are planning to buy a tablet...

We wish to estimate the proportion of all Americas that are planning to buy a tablet computer within the next year. a) How many Americas need to be sampled if we want to estimate the proportion to within 5% with 99% confidence? b) Assume we sampled the number of Americans found in (a) and 40% say that they will be buying a tablet computer in the next year. Construct and interpret a 90% confidence interval for the proportion of Americas...

Suppose you want to estimate the proportion of voters who will vote for Mary Bills, a...

Suppose you want to estimate the proportion of voters who will vote for Mary Bills, a candidate for state senator. How many should you sample in order to estimate p with a margin of error of 2% and 90% confidence?

A sociologist wishes to estimate the proportion of parents of college-bound high school students who have...

A sociologist wishes to estimate the proportion of parents of college-bound high school students who have not saved any money for college. What sample size would she need for the estimate to be correct within 6 percentage points with 95% conﬁdence (a) if she uses a similar study from 2015 that indicates that 32% of parents had saved no money for college? (b) if she does not use any prior estimates?

I have the following statistics problem. Katrina wants to estimate the proportion of adult Americans who...

I have the following statistics problem. Katrina wants to estimate the proportion of adult Americans who read at least 10 books last year. To do so, she obtains a simple random sample of 100 adult Americans and constructs a 95% confidence interval. Mathew also wants to estimate the proportion of adult Americans who read at least 10 books last year. He obtains a simple random sample of 400 adult Americans and constructs a 99% confidence level. Assuming both Katrina and...

Subjects