Question

Suppose you want to estimate the proportion of traditional college students on your campus who own their own car. From research on other college​ campuses, you believe the proportion will be near 20​%. What sample size is needed if you wish to be 95​% confident that your estimate is within 0.02 of the true​ proportion?
what's the sample size needed?

Expert Solution

Want to see the full answer?

Check out a sample Q&A here
Blurred answer
Students who’ve seen this question also like:
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN: 9780547587776
Author: HOLT MCDOUGAL
Publisher: HOLT MCDOUGAL
Not helpful? See similar books
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: I want to estimate the proportion of college professors who believe in aliens. How many college…

A: Given Confidence interval=90% sample proportion is within 5 percentage

Q: A researcher wishes to estimate the number of households with two cars. How large a sample is needed…

A: Click to see the answer

Q: According to The Census Bureau, 60% of adults buy clothing online. a) How many adults did they…

A: Solution: a. From the given information, p=0.60 and E=0.03. The confidence level is 0.95.

Q: An event marketing executive thinks that the proportion of consumers who have seen his company’s…

A: In general terms, the larger the sample size n, the more precise of an estimate can be obtained of…

Q: By how many times does the sample size have to be increased to decrease the margin of error by a…

A: Formula for margin of error is ME = Zα/2 * σ / √n where Zα/2 = critical value

Q: The US population is 13% African American.  If you were to take a SRS of 500 Americans, below what…

A: From the given data The US population is 13% African American

Q: The US population is 13% African American.  If you were to take a SRS of 500 Americans, above what…

A: Solution:From the given information, the proportion of African American is 0.13, random sample of…

Q: What should be the margin of error when the population size is 5,000, and the sample size is 400?

A: Click to see the answer

Q: As the newly hired manager of a company that provides cell phone service, you want to determine the…

A: Given, Margin of error, E = 0.04 Confidence level is 90% Level of significance, α = 1- 0.90 =  0.10…

Q: You would like to be 90% confident that your estimate is within 3 of the true population mean. How…

A: Provided information is, Population standard deviation is approximately σ=30.1, It is 90% confident…

Q: If you want to be99​% confident of estimating the population proportion to within a sampling error…

A: Proportion is almost similar to the concept of probability. Proportion is a fraction of the…

Q: researcher wishes to estimate the number of households with two computers. How large a sample is…

A: Given P=0.23 q=0.77 E=6%=0.06

Q: Suppose that you conduct a hypothesis test for a proportion using a sample size of n=50 and you…

A: Answer: As sample increases  the p-value decreases.

Q: A television sports commentator wants to estimate the proportion of citizens who​ "follow…

A: Given Data: Margin of Error=0.22 p=0.54   z-value=1.96

Q: d) If the true mean is 4200, what sample size is needed if you do not wish for the Type II error…

A: d. Given information: Formula for Type II error is Given that the type II error rate to be not…

Q: Suppose that your sample size was 37, what is P(t<-1.74) (Negative 1.74)?

A: Given information- Sample size, n = 37 t-score = -1.74 We have to find the p (t&lt;-1.74). Degree of…

Q: A television sports commentator wants to estimate the proportion of citizens who​ "follow…

A: compute sample size ( n ) = n=(Z/E)^2*p*(1-p)

Q: Suppose you select a simple random sample of 75 Douglas College students, and you find that 8 are…

A: The point estimate of the population proportion is the sample proportion. Given that, 8 out of the…

Q: The executives at Sandbachian, inc., having recently solved their widget crisis, have another…

A: Let ‘x’ be the no of defective manhole covers i.e x=40 and n=800 sample propotion (P)=x/n p=40/800…

Q: A marketing research firm wishes to conduct a poll in a certain region to estimate the proportion of…

A: Solution: From the given information, confidence level is 0.90 and E=0.03.

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Obtain the sample size of a no preliminary estimate for p. The formula of sample size is, Use EXCEL…

Q: If your target population is 123, how many samples do you need for a sampling error of .05 and a…

A: Click to see the answer

Q: You are told that the proportion p of those who answered "yes" to a poll about internet use is 'p =…

A: Click to see the answer

Q: Can you think of an area where it might not be practical, for a variety of reasons, to sample 100%…

A: Given:- We can think of an area where it might be practical, for a variety of reasons ,to sample…

Q: You want to estimate the proportion of home accident deaths that are caused by falls. How many home…

A: Formula for the sample size needed to estimate a population proportion is

Q: 5. Suppose a 12 year old asked you to explain the difference between a sample and a population, how…

A: As per our guidelines, we are allowed to answer first question only. Please repost next question…

Q: A researcher wishes to estimate the proportion of corporate executives whose annual salary is over…

A: Click to see the answer

Q: Give two reasons why it would be necessary to examine a sample of the shirts produced rather than…

A: Sampling:        The Sample is a subset of the Population, where a sample is extracted from a…

Q: Give two reasons why it would be necessary to examine a sample of the shirts produced rather than…

A: Give two reasons why it would be necessary to examine a sample of the shirts produced rather than…

Q: . Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. e.…

A: The city of Raleigh has 9500 registered voters. There are two candidates for city council in an…

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Click to see the answer

Q: If you want to be 95% confident of estimating the population proportion to within a sampling error…

A: Click to see the answer

Q: The manager of a small supermarket chain wants to estimate the proportion of time stockclerks spend…

A: Assume that the population proportion is 0.5. It is known that the critical value for 98% confidence…

Q: If the population proportion is 0.7. A researcher wants the margin of error to be 0.20 and the level…

A: From the provided information, Population proportion (p) = 0.7 Margin of error (E) = 0.20 Confidence…

Q: Why is a sample proportion generally used to estimate a population proportion instead of obtaining…

A: Population proportion: The proportion that is calculated from the population which has a specific…

Q: Why is a sample proportion generally used to estimate a population proportion instead of obtaining…

A: Click to see the answer

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

A: Given data, P1 = 21.9% = 0.219 P2 = 14.4% = 0.144 E = 2% = 0.02 Z= value at 95% confidence is Zc =…

Q: A physical therapist wants to determine the difference in the proportion of men and women who…

A: Click to see the answer

Q: If the population mean is 12.45, what is the mean of the sampling distribution of ts means?

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: you think that using a margin of error greater than 5 percent is acceptable when conducting a…

A: As the name implies, the margin of error is a range of values above and below the actual results…

Q: In 1945, an organization surveyed 1100 adults and asked, "Are you a total abstainer from, or do you…

A: Let, X1= number of abstainer in the previous test n1= total sample size of the past test p1^ =…

Knowledge Booster
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Holt Mcdougal Larson Pre-algebra: Student Edition...
    Algebra
    ISBN:9780547587776
    Author:HOLT MCDOUGAL
    Publisher:HOLT MCDOUGAL
  • Holt Mcdougal Larson Pre-algebra: Student Edition...
    Algebra
    ISBN:9780547587776
    Author:HOLT MCDOUGAL
    Publisher:HOLT MCDOUGAL