1. An environmental group claims that more than 40% of all of the personal vehic
ID: 3149376 • Letter: 1
Question
1. An environmental group claims that more than 40% of all of the personal vehicles in a particular state fail to meet minimum emissions requirements. This group asked a state legislator to introduce legislation which would require annual emissions testing of personal vehicles. This legislator has agreed to introduce such legislation provided sufficient evidence can be provided to support the environmental group's claim. A simple random sample of 200 personal vehicles was selected from a listing of all personal vehicles registered in this state and each of these vehicles was subjected to the emissions test. For this sample 97 of the 200 vehicles failed the emissions test. a) What is a unit in this example? b) Define a relevant dichotomous variable for this example. c) What is the sampled population that the random sample described above comes from? sampled population). e) Construct a 95% confidence interval estimate for the population proportion of all per- sonal vehicles registered in this state that would fail the emissions test. Provide an in- terpretation of this confidence interval in context of this example. Use the +2/+4 method Use the confidence interval estimate that you found above to determine if these data provide sufficient evidence to convince the legislator to introduce the requested legislation. g) Do these data support the claim that no more than 50% of all personal vehicles registered in this state that would fail the emissions test? Be sure to justify your answer and explain your reasoning. h) Do these data support the claim that no more than 60% of all personal vehicles registered in this state that would fail the emissions test? Be sure to justify your answer and explain your reasoning. There is another problem on the next page.Explanation / Answer
a)Here a personal vehicle is the unit under study.
b)Let E be the no. vehicle fail to meet the emission requirement.And Ec is the number of vehicle meeting the requirement.
c)The sampled population is that one from which the sample is drawn.Here the population is all the personal vehicles registered in the state.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.