Question

studentrarert Dashboard XI? Exam 5 xA radio show host broado verahsstrongmind.com/courses/2724/assignments/490663?module_item_id-1341383 A safety commission tests the brakes in a new series of luxury vehicles. The commission finds with 90% confidence that the brakes fail in 0.8% of the luxury vehicles, with a margin of error of 0.3%. Part A: Imagine that later, another safety commission tests the brakes in a different sample of the same new series of luxury vehicles. At the conclusion of the test, the commission found that the brakes failed n l% of the luxury vehicles. Do these results agree with the findings from the original study? Part B: Imagine that 20 additional studies are held to test the brakes in the same new series of luxury vehicles, In 19 of those studies, the failure rates for the brakes lie within the established margin of error of 0.3% while the failure rate established in one study lies outside of it. Do these results invalidate the original study? Select one answer that is completely correct for Part A, and select one answer thet is completely correct for Part B A: No, because the original study found a brake failure rate of 08%. G A: No, the findings of this study vio ate both the margin of error and the o G A: Yes, although the fellure rate exceeds the estabished margin of error, the confidence levei n of error and the confidence level allows some variation in resuits among different studies B: Yes, these results invalidere the study beceuse one study exhibited falure rates the margin of error B: No, the original study is still vaild. The expeccation s th a: duplcate scudies wouid reach resuts within the mergn of error 90% of tne time, era trs expectation was satisfied A: Yes, because a 1% failure rece iies within the establee mergin of error B, Yes, the resuts inve idate the stuay because the margio of enor was exceeded han the confidence level allowS stescrat exceeded the 器曲甜窜妝細■頎明

Answer 1

A. Yes, because a 1% failure rate lies within the established margin of error

The confidence interval found out by the commission is $0.8$%$\pm 0.3$% i.e., (0.5%,1.1%). The failure rate of 1% lies within the confidence interval. Thus, the results of the part A agree with the findings from the original study.

B. No, the original study is still valid.Although one study exhibited failure rates that exceeded the margin of errors, 95% of the studies reached similar results as the original.