It is found that a sample of size 100 yields 8 defective items. a. What is the best point estimate for the true proportion of defective items? [Select] b. Provide a 95% confidence interval for the true proportion of defective items. [Select] c. What will be the minimum sample size to be obtained in order to achieve a margin of error of 3% [ Select]
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- What is meant by the sample space of an experiment?in a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-timecollege students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 90%. Assume prior studies have shown that about 60% of full-time students earn bachelor's degrees in four years or less. (Round up to the nearest integer.)In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level of 95%. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in four years or less.
- In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time college students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.03 margin of error and use a confidence level 90%.A telephone company has the business objective of wanting to estimate the proportion of households that would purchase an additional telephone line if it were made available at a reduced installation cost. Data is collected from a random sample of 500 households. The results indicate that 135 of the households would purchase the additional telephone line at a reduced installation cost. - construct a ninety nine percent confidence interval estimate for the population proportion of households that would purchase the additional telephone line.Provide an explanation as to why it would be very unlikely that a different sample of size n=30 would produce the same confidence interval.
- 1. A recent survey showed that from a sample of 500 packages delivered by a Postal Service, 480were delivered on time. a) Construct a 95% confidence interval for the proportion of all packages that are deliveredon time by the Postal Service.The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:A survey of entry level corporate analysts in New York City asked, approximately how many hours per week do you work? A) If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the mean number of hours worked by entry level analysts. B) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour. What sample size would be needed to achieve this? C) As mentioned in class, it is unlikely that the population standard deviation is known. Suppose instead that the sample standard deviation was 4.7 hours. Using the other values from part (a), form a 90% confidence interval for the mean number of hours worked by entry level analysts.
- Find the smallest sample size needed to estimate the populationproportion for a margin of error of 4% and a confidence interval of 95% if A previous study showedSuppose that a safety group surveyed 1,100 drivers. Among those surveyed, 65% said that careless or aggressive driving was the biggest threat on the road, and 25% said that cell phone usage by other drivers was the driving behavior that annoyed them the most. Based on these data and assuming that the sample was a simple random sample, construct and interpret a 95% confidence interval estimate for the true proportion in the population of all drivers who are annoyed by cell phone users. The confidence interval estimate is ??––––––??> (Round to three decimal places as needed. Use ascending order.) Interpret the confidence interval estimate. A. There is a 0.95 probability that the population proportion of drivers who are annoyed by cell phone users is in the interval. B. There is 95% confidence that the population proportion of drivers who are annoyed by cell phone users is in the interval. C. There is 95% confidence that the population proportion…in a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-timecollege students who earn a bachelor's degree in four years or less. Find the sample size needed to estimate that percentage. Use a 0.02 margin of error and use a confidence level of 90%. a. Assume that nothing is known about the percentage to be estimated. (Round up to the nearest integer.)