A random sample of 197 students was asked how many songs were in their digital music library and what fraction of them was legally purchased. Overall, they reported having a total of 108,621 songs, of which 25.8% were legal. A research group found that a 90% confidence interval for the fraction of songs in students' digital music libraries that are legal is (25.6%,26.0%). The research group that conducted this survey wants toprovide the music industry with definitive information, but they believe that they could use a smaller sample next time. If the group is willing to have four times as big a margin of error, how many songs must be included?A total ofsongs must be included.(Type a whole number.)

* SOLUTION :- from the given information the answer is provided as below ,

Answered: Arandom sample of 197 students was…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An auditor takes a random sample of 880880 invoices from the 9510 invoices relating to the activities of a company in 2019. The sample mean value of the sampled invoices was £126 and the sample standard deviation was £58. Find a 99% confidence interval for the mean value of all the invoices for 2019. Round to 3 decimal places The records of the company states that the total income from the 9510 invoices was £1150710. The auditor's sample evidence does not support this stated total. True or false? What is the probability, rounded to 3 decimal places, that the company's income does not exceed the value in the records?
The University of Chicago's General Social Survey (GSS) is the nation's most important social science sample survey. The GSS asked a random sample of adults their opinion about whether astrology is very scientific, sort of scientific, or not at all scientific. A two-way table of counts for people in the sample who had three levels of higher education degrees is given. Degree Held Bachelor Junior College Not at all scientific Very or sort of scientific 13 Identify a 95% confidence interval for the percentage of people with a junior college degree who think that astrology is not at all scientific. 0.4597 to 0.6729 0.1011 to 0.1745 0.0793 to 0.1377 0.4768 to 0.6558 47 36 Graduate 181 43 113
A child psychologist wanted to determine if the babies responded to their mothers voice when they could not see them. She measured the total time the babies actively sucked their pacifiers while listening to their mothers' voices without seeing them for 10 minutes. She ran this test on 12 babies and found the average time was 4.5 minutes with a standard deviation of 0.9 minutes. What one is the correct 90% confidence interval for the average amount of time the babies sucked their pacifiers that can be obtained from this data? (Assume that the times are approximately Normally distributed) O A. (4.073, 4.927) B. (3.991,5.009) C. (3.928, 5.072) O D. (4.033, 4.967)
An insurance company checks police records on 582 accidents selected at random andnotes that teenagers were at the wheel in 91 of them. Create a 95% confidence interval for theproportion of all auto accidents that involve teenage drivers.
In a randomized controlled trial, insecticide-treated bednets were tested as a way to reduce malaria. Among 350 infants using bednets, 16 developed malaria. Among 265 infants not using bednets, 26 developed malaria. Use a 0.05 significance level to test the claim that the incidence of malaria is lower for infants using bednets. a. Test the claim using a hypothesis test. b. Test the claim by constructing an appropriate confidence interval. c. Based on the results, do the bednets appear to be effective? a. What are the null and alternative hypotheses? Let the infants using bednets be sample 1 and let the infants not using bednets be sample 2. Choose the correct hypotheses below. O A. Ho: P1 SP2 H1: P1 > P2 В. Но: Р1 2 Р2 H1: P1 P2 Identify the test statistic. (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.) What is the conclusion for this test? Since the P-value is the significance level a, the null hypothesis. b. Let the infants…
of 101 randomly selected mothers, 17% indicated that they pay for private preschool, what is the 99% confidence interval for the proportion of mothers that pay for private preschool
A nutrition and diet center selected 12 clients randomly and listed the weight they lost after the nutrition program in kg as follows. According to this, Number of clients Weight loss (kg) 3,2 2,1 4,6 1,8 1. 2 4 3,5 6. 2,2 1,9 7 8. 4,2 2,6 9. 10 1,7 11 4,3 12 5,2 1. Find and interpret the 95% confidence interval for the population mean. 2. If a confidence interval calculated for the population mean is found to be 2.62 - 3.59, find the confidence level of this range.
If 13 of 200 male voters and 9 of 159 female voters favor a certain candidate running for governor_of Illinois, find a 99% confidence interval for the difference between the actual proportions of malė and female voters who favor the candidate.
Adults are spending more and more time on the Internet, and the number experiencing computer-based or Internet-based crime is rising. A 2018 Gallup Poll of 1019 adults, aged 18 and older, found that 723 of those in the sample said that they worry about having their personal, credit card, or financial information stolen by computer hackers. Although the samples in national polls are not SRSs, they are similar enough that our method gives approximately correct confidence intervals. Explain in words what the parameter p is in this setting ? Use the poll results to give a 95% confidence interval for p.
A team of researchers aims to understand whether a sleep treatment drug has an effect on the number of hours of REM sleep. Five subjects were randomly selected and their time in REM sleep (in minutes) was measured before treatment and after treatment. The before treatment measurements are: (30, 45, 90, 60, 100). The after-treatment measurements for the same five patients are: (35, 30, 80, 70, 110). The researchers compute a 99% confidence interval for the difference (after treatment minus before treatment) in REM sleep time. What is the lower bound of this interval?
in a random sample of 74 My daughter in Santa Clarita California each person who's asked if they support the death penalty. 33 adults in the sample so they do support the death penalty. What was the sample proportion of adults in Santa Clarita that support the death penalty? Calculate a 99% confidence interval estimate of the population percent of people in santa clarita that support the death penalty.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS