98 confidence interval z score12/26/2023 Is contained within the 95% confidence interval.ī. There is strong evidence against 0.514 as the value of the proportion of boys in all births because 0.514 (Round to three decimal places as needed.)Ī. It is believed that among all births, the proportion of boys is 0.509.ĭo these sample results provide strong evidence against that belief?Ĭonstruct a 95% confidence interval estimate of the proportion of boys in all births. Construct a 95% confidence interval estimate of the proportion of boys in all births. A random sample of 864 births in a state included 429 boys. Yes, the confidence interval indicates that the treatment is effective because the interval does not contain 0 minutes. Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain Yes, the confidence interval indicates that the treatment is not effective because the interval does not contain 0 minutes.į. Yes, the confidence interval indicates that the treatment is effective because the interval does not containĮ. Yes, the confidence interval indicates that the treatment is effective because the interval contains 0 minutes.ĭ. No, the confidence interval does not indicate whether the treatment is effective.Ĭ. Yes, the confidence interval indicates that the treatment is not effective because the interval contains 0 minutes.ī. (Round to two decimal places as needed.)ĭoes the result indicate whether the treatment is effective?Ī. Does the result indicate whether the treatment is effective? Assume that the 23 sample values appear to be from a normally distributed population and construct a 95% confidence interval estimate of the standard deviation of the wake times for a population with the drug treatments. After treatment with the drug, 23 subjects had a mean wake time of 90.4 min and a standard deviation of 40.7 min. A clinical trial was conducted to test the effectiveness of a drug used for treating insomnia in older subjects. This result is exactly the same as the actual weight of the bear. This result is not very close to the actual weight of the bear. This result is close to the actual weight of the bear. This result is very close to the actual weight of the bear. Is the result close to the actual weight of (Round to one decimal place as needed.) The best predicted weight for a bear with a chest size of 51 inches is _ pounds. What is the best predicted weight of a bear with a chest size of 51 inches? (Round to one decimal place as needed.) pounds? Use a significance level of 0.05 Then find the best predicted weight of a bear with a chest size of Find the regression equation, letting chest size be the independent (x) variable. The data show the chest size and weight of several bears. This is called the most conservative estimate The estimate obtained using p ^ = 0.5, which gives the largest estimate of n., since it gives the largest possible estimate of n.18. This is because if p ^ is large then 1 − p ^ is small, and vice versa, which limits their product to a maximum value of 0.25, which occurs when p ^ = 0.5. The second approach to resolving the dilemma is simply to replace p ^ in the formula by 0.5. For example, if last month 37% of all voters thought that state taxes are too high, then it is likely that the proportion with that opinion this month will not be dramatically different, and we would use the value 0.37 for p ^ in the formula. Typically the researcher will have some idea as to the value of the population proportion p, hence of what the sample proportion p ^ is likely to be. There is a dilemma here: the formula for estimating how large a sample to take contains the number p ^, which we know only after we have taken the sample. The estimated minimum sample size n needed to estimate a population proportion p to within E at 100 ( 1 − α )% confidence is n = ( z α ∕ 2 ) 2 p ^ ( 1 − p ^ ) E 2 ( rounded u p ) Minimum Sample Size for Estimating a Population Proportion
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