What can be done to decrease the probabilities of committing Type I and Type 2 errors? A. increase sample size n B. decrease confidence level C. increase confidence level D. decrease sample size n
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What can be done to decrease the probabilities of committing Type I and Type 2 errors?
A. increase
B. decrease confidence level
C. increase confidence level
D. decrease sample size n
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- 3. A large automobile manufacturing plant produces 1200 new cars every day. A quality-control inspector checks a random sample of 90 cars from one day's production and finds that 12 of them have minor paint flaws. a. Find the margin of error for a 99% confidence interval. b. Construct and interpret a 99% confidence interval by completing the statement below. We are [ % confident that the true population proportion for the cars with minor paint flaws are between and c. Find the margin of error for a 90% confidence interval. d. Construct and interpret a 90% confidence interval by completing the statement below. We are % confident that the true population proportion for the cars with minor paint flaws are between and e. A 99% confidence interval is than a 90% confidence intervalProvide an explanation as to why it would be very unlikely that a different sample of size n=30 would produce the same confidence interval.How's the economy? A pollster wants to construct a 95% confidence interval for the proportion of adults who believe that economic conditions are getting better. a. A Gallup poll estimates this proportion to be 0.34. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.03? b. Estimate the sample size needed if no estimate of "p" is available.
- If an experimenter realizes that the consequences of a type one error are severe, then he will most likely set the significance level of the test at 5% or possibly higher if the consequences are particularly troublesome a. true b. false28. Graduation The U.S. Department of Commerce reported the results of a large-scale survey on high school graduation. Researchers contacted more than 25,000 Americans aged 24 years to see if they had finished high school; 84.9% of the 12,460 males and 88.1% of the 12,678 females indicated that they had high school diplomas. a) Are the assumptions and conditions necessary for inference satisfied? Explain. b) Create a 95% confidence interval for the difference in gradu- ation rates between males and females. c) Interpret your confidence interval. d) Does this provide strong evidence that girls are more likely than boys to complete high school? Explain.1. The National Center for Educational Statistics recently chose a random sample of 100 newly graduated college students and queried each one about the time it took to complete his or her degree. If the sample mean was 5 years with a sample variance of 4 years: a. Construct a 95 percent confidence interval estimate of the mean completion time of all newly graduated students. b. а. b. What is the interpretation of this confidence interval? If the sample increases, what will happen to the width of the confidence band (explain why you believe so). From past history, the average time for students to complete the degree is 4.8 years. Test the hypothesis at the level of 0.05 that it takes longer for students to complete the degree now. с.
- 8 A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 1,500 of them being regular users of e-cigarettes. Because e-cigarette use is relatively new, there is a need to obtain today's usage rate. How many adults must be surveyed now if we want a confidence level of 90% and a margin of error of 1.5 percentage points?Suppose a random sample of 86 items has been taken from a population and 45 of the items contain the characteristic of interest.a. Use this information to calculate a 90% confidence interval to estimate the proportion of the population that has the characteristic of interest.b. Calculate a 95% confidence interval.c. Calculate a 99% confidence interval.d. As the level of confidence changes and the other sample information stays constant, what happens to the confidence interval? Appendix A Statistical Tables (Round the intermediate values to 2 decimal places, e.g. 0.25. Round your answers to 2 decimal places, e.g. 0.25.)a. enter the lower value of the interval ≤ p ≤ enter the upper value of the interval b. enter the lower value of the interval ≤ p ≤ enter the upper value of the interval c. enter the lower value of the interval ≤ p ≤ enter the upper value of the interval d. All other things being constant, as the confidence increased, the width of the interval select an option…A 95% confidence interval for how much time on average GRC students spend doing homework every day is 75 to 105 minutes.Choose a correct interpretation of the statement above. A. If random sampling is repeated, 95% of the confidence intervals created will capture the true mean. B. If random sampling is repeated, 95% of the samples will have a mean that is between 75 and 105 minutes. C. 95% of GRC students study between 75 and 105 minutes on average every day. D. There is 95% chance that the true mean is between 75 and 105 minutes.
- a. What is the value of our sample statistic? b. What is the critical value for this level of confidence? c. What is the standard error of our sample statistic? d. What is the margin of error for this level of confidence? e. The 95% confidence interval for the true proportion of adult residents who have smartphones is between _____ and ______An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 332 people living in East Vancouver and finds that 36 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Please carry answers to at least six decimal places in intermediate steps, and use at least 3 decimal places in your critical value. Sample size =1. If the chance for a student passing a class is 50%, then the chance for a student not passing the class can be greater than 50%? true or false 2. 1.30% is not a true probability? true or false 3. Power is 1 minus the probability of making a type I error? true or false 4. Using the same sample data, the margin of error for an 80% confidence interval is bigger than the margin of error for a 90% confidence interval? true or false