You are a process engineer for a company that manufactures widgets. Aparticular machine at your company has some downtime during the day on32.5% of days. You decided to make some changes to how the machine iscalibrated in an attempt to reduce downtime. After monitoring the machine for400 days after your changes were implemented, you find that the machine hadsome downtime during the day on 28.1% of days. Conduct a hypothesis test todetermine if the proportion of days that the machine has downtime haschanged from before, with a= 0.10. Using this information, what is theconclusion in your analysis? Round intermediate calculations to four decimalplaces.We fail to reject the null hypothesis, since the test statistic of approximately0.86 is less extreme than the critical value of 1.28.None of the statements are the correct conclusion for the analysis.We fail to reject the null hypothesis, since the test statistic of approximately-1.88 is less extreme than the critical value of -1.64. We fail to reject the null hypothesis, since the test statistic of approximately-1.88 is less extreme than the critical value of -1.64.We reject the null hypothesis, since the test statistic of approximately 1.54is more extreme than the critical value of 1.28.We reject the null hypothesis, since the test statistic of approximately 1.72is more extreme than the critical value of 1.64.

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Answered: You are a process engineer for a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In 1995, it was determined that 78% of US citizens supported a ban on household aerosols. Thinking that this proportion may have changed over the past few decades, a sample will be taken to test if a change has occurred. In a SRS of 400 citizens taken this year, 332 supported the ban. Determine the value of the appropriate test statistic to perform this test. Round to 3 decimal places.
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In a recent year, some professional baseball player complained that umpires were calling more strikes than the rate of 61% called the previous year. At one point in the season, umpire Dan Morrison called strikes in 2231 out of 3581 pitches (based on data from USA Today. Úse a 0.10 significant level to test the claim that Morrison's strike rate is higher than 61%.
K A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as ±4 percentage points. Describe what is meant by the statement that "the margin of error was given as ±4 percentage points." 身 Choose the correct answer below. OA. The statement indicates that the study is 100% -4% = 96% confident that the true population percentage of people that prefer chocolate pie is 14%. OB. The statement indicates that the true population percentage of people that prefer chocolate pie is in the interval 14% ±4%. OC. The statement indicates that the interval 14% ± 4% is likely to contain the true population percentage of people that prefer chocolate OD. The statement indicates that the study is only 4% confident that the true population percentage of people that prefer chocolate pie is exactly 14%.
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