A confidence interval guarantees that the parameter is contained within the interval. True O False
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- Find B and C: confidence interval estimate and p-valueUsing the data provided 1. find the confidence interval 2. find the error boundUsing R Here we will investigate the “confidence level” of each of the confidence intervals:percentile, normal, basic, and BCa. The confidence level of a confidence interval is the longrun proportion that the interval contains the parameter. So, if we took 100 samples andcomputed a 95% CI that estimates the population mean mu, the intervals should contain it95% (95 out of 100) of the time.1(a). Simulate samples X of size n=10 from an exponential distribution with rate =1/50. Run a bootstrap procedure to estimate the median. Compute the 4 CI’s mentionedabove. Repeat this 1,000 times and estimate the confidence level of each type of confidenceinterval.1(b). Are the confidence intervals below or above the confidence level of .95? Whydo you think this is? Explain.1(c). Repeat this for samples of size n=50.1(d). Did the confidence level of the intervals change with the sample size? Are theconfidence intervals below or above the confidence level of .95? Why do you think this…
- Assume we found a 98% confidence interval for the true difference in proportions of those who consume caffeine and smoke, and those who don’t consume caffeine and smoke to be [-0.78, 0.09]. Which of the following would be an appropriate interpretation? We are 98% confident that the true difference in the proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09. We are 98% confident that the true proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09. We are 98% confident that the difference in the proportions of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09. We are 98% confident that the true difference in the averages of those who consume caffeine and smoke, and those who don't consume caffeine and smoke is between -0.78 and 0.09.If n=300 and X=120, construct a 99% confidence interval estimate for the population proportion. _____≤π≤_____ (Round to four decimal places as needed.For each example, choose the confidence interval that has a larger margin of error.1) A 90% confidence interval for a mean contructed from a sample of 45 A 90% confidence interval for a mean contructed from a sample of 55 2) A 92% confidence interval for a mean constructed from a sample of 45 A 90% confidence interval for a mean constructed from a sample of 45 3) A 90% confidence interval for a mean constructed from a sample of 45, using s A 90% confidence interval for a mean constructed from a sample of 45, using σσ
- How do I find the confidence interval for both of these?Can you solve this problem about the confidence interval?A confidence interval for a mean is (-11, 10). This interval would be wider if The sample mean was larger or the variability of the data was larger. The investigator wanted to be more confident of their results, or there was more information. The variability of the data was small, or the sample mean was larger. The variability of the data was larger, or the investigator wanted to be more confident. None of the above.