The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 406 consumers who have owned a ColorSmart-5000 television set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 say their ColorSmart-5000 television sets did need at least one repair. Determine the sample size needed in order to be 99 percent confident that p, the sample proportion of ColorSmart-5000 television sets that last at least five years without a single repair, is within a margin of error of .03 of p, the population proportion of sets that last at least five years without a single repair. (Round your p answer to 5 decimal places. Round your n answer to the next whole number.) Using p = and z0.005 = 2.576 n

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single repair. In order to test this claim, a consumer group randomly selects 406 consumers who have owned a ColorSmart-5000 television set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 say their ColorSmart-5000 television sets did need at least one repair. Determine the sample size needed in order to be 99 percent confident that p, the sample proportion of ColorSmart-5000 television sets that last at least five years without a single repair, is within a margin of error of .03 of p, the population proportion of sets that last at least five years without a single repair. (Round your p answer to 5 decimal places. Round your n answer to the next whole number.) Using p = and z0.005 = 2.576 n

Name: The manufacturer of the ColorSmart-5000 television set claims 95 perc
Uploaded: 2024-03-20T07:07:00.000Z
Channel: Bartleby
Description: The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a singlerepair. In order to test this claim, a consumer group randomly selects 406 consumers who have owned a ColorSmart-50

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

Related questions

Q: An executive at the home office of Big Rock Life Insurance is considering three branch managers as…

A: Part (a): Level of significance is 0.01. Hypotheses: Null hypothesis: That is, there is no…

Q: If a hurricane was headed your way, would you evacuate? The headline of a press release states,…

A: Sample size = n = 4625 Sample proportion = p̂ = 0.32

Q: Suppose Diana, an educational researcher at a local university, wants to test the impact of a new…

A: Diana selects a simple random sample of 68 freshmen and divides them into 34 pairs. we have given,…

Q: entering your work cafeteria and are approached by an individual to participate in their study by…

A: Given that You are entering your work cafeteria and are approached by an individual to participate…

Q: The call center manager at InsuranceCorp is responsible for ensuring customer satisfaction. To this…

Q: Of the 300 students that I will send surveys to, how many between the ages of 18 and 24 should I…

A: her given there are total 1500 students in college 35% between the ages of 18 and 24, that is…

Q: ution: p ± Za/2/pq/n= 0.06 ± 1.96/0.06 × 0.94/100 = 0.06 ± 0.046547, or (0.01345, 0.10655)

A: The solutions are given below

Q: The city council of Pine Bluffs Is considering Increasing the number of police In an effort to…

A: For the given data Find the required blanks

Q: A vaccine to prevent a severe virus was given to children within the first year of life as part of a…

A: a.It is given that x1=57, x2= 49, n1=3,294, n2= 1,648. .

Q: Jamu Sido Mampir Company has herbal medicine cottage branches in three locations. The company…

A: NoHerbal Hut 1Herbal Hut 2Herbal Hut…

Q: An executive at the home office of Big Rock Life Insurance is considering three branch managers as…

A: According to the provided data, three branches managed by Adams, McDale and Vasquez are considered…

Q: Determine the regression equation. (Negative values should be indicated by a minus sign. Round your…

A: Police (X) Crimes (Y) (x-xbar) (x-xbar)^2 (y-ybar) (y-ybar)^2 (x-xbar)*(y-ybar) 19 16 -2.25 5.0625…

Q: In conducting a statistical study about the number of hours full-time students work at Miramar…

Q: A balance used in an entomology lab to weigh grasshoppers is quite old and has been used for…

Q: We want to learn about the country of origin, gender, NYC borough of residence, ethnicity, and age…

A: A sample is a subset of a population, whereas a population is a full set that represents every…

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

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

Q: A biotech company is automatically filling vials with a liquid drug product. The company is…

A: In the given case we have a total sample size of n=50 and the shipment will be rejected if there are…

Q: Thirty-three percent of all Americans drink bottled water more than once a week (Natural resources…

A: Note: Hi there! Thank you for posting the question. Unfortunately in the sub-part(b), some required…

Q: In the Star and Tribune newspaper, there is an article entitled “1 in 8 school buses fail tests."…

A: Given information: Sample of 200 buses and find that 20 buses fail the safety inspection. Let us…

Q: A coffee shop gets its stock of bagels for the day delivered from a baker in the morning before…

Q: need to sell 250 bagels every day to break even on their purchase of bagels from the baker. The…

A: (a) The null and alternative hypotheses need are: Ho: \muμ = 250250 Ha: \muμ < 250250 This…

Q: who live within 20 miles of the coast in high hurricane risk counties of eight southern states. In…

A: It is given that sample size (n) is 4,625 and p hat value is 1-0.32 = 0.68.

Q: Based upon the output provided, what is sample size?

A: Given information : Correlation Matrix for the variables Travel and Satisfaction is given.

Q: A tax auditor has a pile of federal tax returns and she has been directed to randomly select 20 of…

A: Given : A tax auditor has a pile of federal tax returns and she has been directed to randomly select…

Q: We wish to gather some information relating to the average time a hospitalized Eagle Flu patient…

A: The following data set is about the flu patients who spent the number of days that in the hospital.…

Q: Suppose you are the president of the student government. You wish to conduct a survey to determine…

A: The systematic sampling method is the method in which the sample point is selected at a regular…

Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

Topic Video

Question

The manufacturer of the ColorSmart-5000 television set claims 95 percent of its sets last at least five years without needing a single
repair. In order to test this claim, a consumer group randomly selects 406 consumers who have owned a ColorSmart-5000 television
set for five years. Of these 406 consumers, 316 say their ColorSmart-5000 television sets did not need a repair, whereas 90 say their
ColorSmart-5000 television sets did need at least one repair.
Determine the sample size needed in order to be 99 percent confident that p, the sample proportion of ColorSmart-5000 television
sets that last at least five years without a single repair, is within a margin of error of .03 of p, the population proportion of sets that last
at least five years without a single repair. (Round your p answer to 5 decimal places. Round your n answer to the next whole
number.)
Using p =
and z0.005 = 2.576

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Proportions$

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.

Similar questions

A random survey of enrollment at 10 community colleges across the United States yielded the following figures: 2523; 1707; 5420; 2835; 1129; 5452; 2360; 1448; 2958; and 4110. What is the 99% Error Bound (EBM) of the population mean?
New York State has approximately 250,000 employees across over 70 state agencies, commissions and boards, ranging in size from approximately 50 to over 5,000 employees. Assume that you wanted to draw a representative sample of 1,000 New York State employees. Describe two ways that you could draw such a sample and briefly describe the advantages and disadvantages of each of these sampling approaches.
We are asked to evaluate a cell phone app for identifying poisonous plants. The app takes as input a picture of a plant, and classifies it as either poisonous or safe. We test the app with a large number of plant pictures, and observe the following: • 1% of all pictures depict poisonous plants. • The app identifies 90% of the pictures showing poisonous plants correctly as poisonous. • Among all pictures showing safe plants, the app identifies 91.4% percent as safe. Suppose we choose a random picture, and the app identifies it as poisonous. What is the probability that the depicted plant is safe?
A company has been rating television programs for more than 60 years. It uses several sampling procedures, but its main one is to track the viewing patterns of 20,000 households. These contain more than 45,000 people and are chosen to form a cross-section of the overall population. The households represent various locations, ethnic groups, and income brackets. The data gathered from the sample of 20,000 households are used to draw inferences about the population of all households in the United States. Complete parts (a) and (b) below. What strata are used in the sample? Choose the correct answer below. A. The various locations, ethnic groups, and income brackets that are represented B. The various sampling procedures and viewing patterns C. The number of households and people that are chosen D. The television ratings Why is it important to have a stratified sample for these ratings? Choose the correct answer below. A. Stratified…
A vaccine to prevent a severe virus was given to children within the first year of life as part of a drug study. The study reported that of the 3456bchildren randomly assigned the vaccine, 58 got the virus. Of the 1606 children randomly assigned the placebo, 46 got the virus. a. Find the sample percentage of children who caught the virus in each group. Is the sample percentage lower for the vaccine group, as investigators hoped? b. Determine whether the vaccine is effective in reducing the chance of catching the virus, using a significance level of 0.01.The first few steps of the hypothesis-testing procedure are given. Complete the procedure.
Determine whether the sampling method described below appears to be sound or is flawed. In a survey of 337 subjects, each was asked about the importance of the appearance of a job applicant. The survey subjects were human resource professionals who randomly selected by pollsters from a reputable market research firm. It is flawed because it is from a small sample. It appears to be sound because it is a census. It is flawed because it is a voluntary response sample. It appears to be sound because the data are not biased in any way.
Please correctly identify the following sample by naming the sampling techniques used, whether it's systematic, cluster, convenient, simple or stratified. Sample: in a medical study, patients are classified according to four blood types O, A, B, AB, whether they are RH- or RH+ and also according to whether blood pressure is low, normal or high
please answer the question in the attached picture with work shown, thanks! #3 A,B
An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…
The state highway department is studying traffic patterns on one of the busiest highways in the state. As part of the study. the department needs to estimate the average number of vehicles that pass an intersection each day. One of the department's officer (Officer A) claims that on average, more than 15,000 cars passing the intersection. On the other hand. Officer B claims that on average, 18,000 cars passing the intersection. Meanwhile, a random sample of 64 days gives a sample mean of 14,205 cars and a sample standard deviation of 1,010 cars. Test both claim at 0.05 level of significance. Use the critical value approach and show the complete calculation steps for each testing. Whose claim is true? Testing Officer A's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision rule Step 3: Compute the test value Step 4: Make decision Step 5: Conclusion Testing Officer B's claim Step 1: State the hypotheses Step 2: Find critical value and state the decision…