5) Suppose that a diagnostic test has been shown to be 80% effective in detecting agenetic abnormality in human cells. An investigator modifies the diagnostictesting protocol and wishes to test if the new protocol has detection rate differentfrom 80%. The new protocol is applied to 300 independent specimens of humancell known to possess the abnormality. The abnormality is detected in 222specimens.(a) Run the appropriate test at 5% level of significance.(b) Estimate the correct detection rate for the new protocol using 95%confidence interval.

a. Suppose p is the true detection rate of abnormality.

Answered: Suppose that a diagnostic test has been…

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

You are conducting a study to see if the accuracy rate for fingerprint identification is significantly less than 0.37. You use a significance level of α=0.002α=0.002. H0:p=0.37H0:p=0.37 H1:p<0.37H1:p<0.37You obtain a sample of size n=155n=155 in which there are 44 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
number 2
You work for a company that produces electronics with integrated circuits. One of your products is called a "shift register." This product is designed to automatically shut down if its operating temperature exceeds 175 degrees Celsius. The manufacturing process has been designed to have a standard deviation of o = 0.4 degrees Celsius. You test a random sample 19 shift registers, and you record the following shut- down temperatures. Construct a 90% confidence interval for the overall mean shutdown-temperature. 175 174.66 175.44 174.34 174.91 174.79 174.82 175.52 174.99 174.99 175.23 175.15 175.11 175 175.43 174.85 174.74 174.9 175.48 (Checksum: 3325.35) a) Find the critical value and o. Critical Value: b) Find the confidence interval: 100% " 70°F Cloudy
The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2. A random sample of 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 90% confidence interval for the difference u, -4, between the mean processing time of computer 1, µ,, and the mean processing time of computer 2, µ„. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary,…
The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a α=0.05 level of significance. Give answer to at least 4 decimal places. Hours 48 41 60 55 48 68 53 55 50 49 54 52 What are the correct hypotheses? H0: hours Ha: hours
You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it usingZ1, Z2,..., Z1500? (c) What is the chance that your randomly drawn sample is such that your sample statistic from (a)is lower than 0.015? (d) The factory passes the quality control assessment if the sample of 1500 allows you to construct an asymmetric 95% confidence interval that does not contain 0.02. Say your sample of 1500 displays contains 24 defective displays. Does the factory pass?
An airline company is interested in improving customer satisfaction rate from the 66% currently claimed. The company sponsored a survey of 262 customers and found that 184 customers were satisfied. What is the test statistic z? What is the p-value? Does sufficient evidence exist that the customer satisfaction rate is higher than the claim by the company at a significance level of α=0.01 (Y/N)
Are juvenile defendants who are released pending adjudication processed more slowly than those who are detained? The JDCC data set records whether a juvenile was released and the number of months it took for that juvenile’s case to reach a disposition. The sample will be narrowed to black female youth. Released juveniles (Sample 1) had a mean of 4.30 months to disposition (s = 3.86, N = 123) and detained juveniles (Sample 2) had a mean of 3.57 (s = 4.20, N = 64). Using an alpha level of .01, test the hypothesis that released juveniles’ mean time-to-adjudication is significantly greater than detained juveniles’ mean. Assume equal population variances. Use all five steps.
English Air continually monitors the proportion of overweight items checked by passengers on its flights in order to evaluate the appropriateness of their overweight fees. Recently, a random sample of 288 items checked on English Air flights to North America contained 51 overweight items, and an independent, random sample of 258 items checked on English Air flights within Europe contained 27 overweight items. Based on these samples, can we conclude, at the 0.05 level of significance, that there is a difference between the proportion p, of all items on English Air flights to North America that are overweight and the proportion p, of all items on English Air flights within Europe that are overweight? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis…
The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 11 processing times from computer 1 showed a mean of 35 seconds with a standard deviation of 20 seconds, while a random sample of 7 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 58 seconds with a standard deviation of 18 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.1 level of significance, that the mean processing time of computer 1, μ1, differs from the mean processing time of computer 2, μ2?Perform a two-tailed test. 1.The null hypothesis: 2.The alternative hypothesis: 3.The value of the test statistic:(Round to at least three decimal places.) 4.The p-value:(Round to at least three decimal places.)
The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks which require comparable processing time to those of computer 2. A random sample of 9 processing times from computer 1 showed a mean of 78 seconds with a standard deviation of 17 seconds, while a random sample of 12 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 65 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers, and that the variances are equal. Can we conclude, at the 0.10 level of significance, that the mean processing time of computer 1, μ1, is greater than the mean processing time of computer 2, μ2? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. a. State the null hypothesis H0 and the…
You work for a marketing firm that has a large client in the automobile industry. You have been asked to estimate the proportion of households in Chicago that have two or more vehicles. You have been assigned to gather a random sample that could be used to estimate this proportion to within a 0.025 margin of error at a 80% level of confidence. Your firm has decided that your plan is too expensive, and they wish to reduce the sample size required. You conduct a small preliminary sample, and you obtain a sample proportion of ˆp=0.225p^=0.225 . Using this new information. what sample size should you gather in order to obtain a 0.025 margin of error? Round your answer up to the nearest whole number.

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