95% confident that the majority of fans approve of the rule changes?
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Professional Baseball is trying to determine if fans approve of new rule changes. Their SRS results in 57% approval with a margin of error of 6% for a 95% confidence interval. Can we be 95% confident that the majority of fans approve of the rule changes?
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- What is meant by the sample space of an experiment?What is an experiment?When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1200 of 1700 subjects said yes. Construct the 95% confidence interval. Can you conclude whether or not a majority or minority of the population would answer yes?
- 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 high school guidance counselor has a pamphlet that says that 20% of all high school students go to a community college after graduation. In a survey of 150 randomly selected high school seniors, 43 replied that they planned to go to a community college in the fall. Use a 95% confidence interval to test and see if the pamphlet needs updating.Which of these facts would tell us that the pamphlet needs to be updated? If an appropriate confidence interval contains the sample proportion. If the sample proportion is different from 20%. If the sample proportion is the same as 20%. If an appropriate confidence interval contains 20%. If an appropriate confidence interval does not contain 20%. If an appropriate confidence interval does not contain the sample proportion. In order to use a confidence interval to test whether the pamphlet needs to be updated, what conditions must be checked? Select all that apply. (100-20)% of the sample, n(1−p)≈120n(1-p)≈120 students, needs to be at least…When a recent survey asked subjects whether it should or should not be the government's responsibility to impose strict laws to make industry do less damage to the environment, 1400 of 1496 subjects said yes. Construct the 95% confidence interval. Can you conclude whether or not a majority or minority of the population would answer yes?
- A political candidate has asked you to conduct a poll to determine what percentage of people support her. If the candidate only wants a 0.2% margin of error at a 95% confidence level, what size of sample is needed?A recent Gallup poll asked a random sample of 1010 Americans to respond to the statement, "If the U.S. fails to develop a more talented workforce, it will fall behind other countries." The 95% confidence interval for the proportion who would respond "Strongly agree" or "Agree" is 0.74 to 0.82. Calculate the point estimate and the margin of error used to create this confidence interval.A computer store near campus is stocking its shelves, and wants to know the relative proportions of UCI undergraduates who use PCs vs Macs. A random sample of 60 UCI undergraduates is surveyed, and each student is asked whether they use a PC or Mac more often. 55% select ”PC.” The confidence interval is pretty wide and leaves a lot of uncertainty over the proportion of UCI undergarduates who use PCs. With the goal to estimate a narrower 95% confidence interval, what is a simple change to this study that you could suggest for the next time that a similar survey is conducted? (for the confidence interval I got the answer (0.4241, 0.6759)