8. A large online retailer is analyzing how frequently their product WonderWidget" is returned. Out of 345 WonderWidgets bought, 48 were returned. (a) Find the 97% confidence interval for the long-run proportion of Wonder Widgets returned. (b) If the retailer wanted to obtain a 97% confidence interval with a margin of error ±0.03, how many purchases it should analyze?
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- 5. At Community Hospital, the burn center is experimenting with a new plasma compress treatment. A random sample of 316 patients with minor burns received the plasma compress treatment. Of these patients, 259 had no visible scars after treatment. Another random sample of 419 patients with minor burns received no plasma compress treatment. For this group, 94 had no visible scars after treatment. Find a 90% confidence interval for the difference between the two population proportions.A scientist claims that 65% of U.S. adults believe humans contribute to an increase in global temperature. A 95% confidence interval for the proportion of U.S. adults who say that the activities of humans are contributing to an increase in global temperatures is found to be (0.626, 0.674). Does this confidence interval support the scientist's claim? Since 0.65 falls in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is incorrect. Since 0.65 does not fall in the confidence interval, the scientist’s claim is correct. Since 0.65 falls in the confidence interval, the scientist’s claim is correct.Joe’s Pizza Joint found that 64.2% of the 328 pizzas sold last week included pepperoni. Find a98% confidence interval for the proportion of Joe’s customers that order pepperoni.
- A scientist wondered if there was a difference in the average daily intake of dairy products between men and women. He took a sample of n1 = 50 adult men and n2 = 50 adult women and recorded their daily intakes of dairy products in grams per day. A summary of the sample results of it is presented in the table. He constructs a 95% confidence interval for the difference in the average daily intakes of dairy products for men and women. Can it be concluded that there is a difference in the average daily intakes for men and women?In a random sample of 250 high school students, it was found that 85.2% (213) of them later graduated. The 95% confidence interval is (-0.065,0.065) and the 98% confidence interval is (-0.077,0.077) for the true proportion of all high school students who graduate. Compare the two proportions.A new drug to treat high cholesterol is being tested by pharmaceutical company. The cholesterol levels for 8 patients were recorded before administering the drug and after. The mean difference in total cholesterol levels (after - before) was 15.91 mg/dL with a standard deviation of 15.2714 mg/dL. Create a 95% confidence interval for the true average difference in cholesterol levels by the drug. Question 9 options: 1) (-3.1428, 28.6772) 2) (3.1428, 28.6772) 3) (3.4593, 28.3607) 4) (10.5107, 21.3093) 5) (13.5454, 18.2746)
- A poll reported that only 645 out of a total of 2029 adults in a particular region said they had a "great deal of confidence" or "quite a lot of confidence" in the public school system. This was down 5 percentage points from the previous year. Assume the conditions for using the CLT are met. Find a 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools, and interpret this interval. The 95% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the public schools is ____A quality control inspector selects 12 bottles of apple juice at random from a single day’s production. The mean amount of apple juice in the bottles is 298.3 milliliters, and the 95% confidence interval for the true mean amount of juice dispensed per bottle is (296.4, 300.2). Does this interval give the quality control inspector reason to believe that the mean amount of juice in today’s bottles differs from 300 milliliters, as the juice label promises? Yes, since the sample mean of 298.3 ml is less than 300 ml. Yes, since nearly the entire confidence interval is less than the advertised value of 300 ml. No, since the sample mean of 298.3 ml is in the confidence interval. No, since the advertised value of 300 ml is in the confidence interval.A researcher finds that individuals with a high school education or less are more likely to have hypertension than individuals with at least some college education. They report a relative risk of 2.1 with a 95% confidence interval or (1.6, 2.5). They then stratify their analysis by smoking status and report a relative risk of hypertension in smokers with a high school education or less as compared to smokers with at least some college education of 1.4 with a 95% confidence interval of (0.9, 1.9), and a relative risk of hypertension in non-smokers with a high school education or less as compared to non-smokers with at least some college education of 2.6 with a 95% confidence interval of (2.1, 3.2), Which of the following is not true? A) there is effect modification by smoking status B) there is effect modification by hypertension status C) there is no statistically significant assocation between education and hypertension amoung smokers D) Education and hypertension are not…
- 11Suppose that you're regressing the Sales Price (the y-variable) of a home on the Square Footage (the x-variable) of that home, and the 95% Confidence Interval (CI) estimate of B1 is given by the interval: (-2.757,3031). Give the interpretation of this CI. Specifically, EXPLAIN how the CI answers the question about whether or not Home Prices and Square Footage are, or are not, significantly linearly related.Find a 90% (two-sided) confidence interval on the rollover rate of these vans. The rollover rate of sport utility vehicles is a transportation safety issue. Safety ad- vocates claim that manufacturer A's vehicle has a higher rollover rate than that of manufacturer B. One hundred crashes for each of these vehicles were examined. The 0.35 and PB 0.25. rollover rates were PA = = (a) Does manufacturer A's vehicle have a higher rollover rate than manufacturer B's? Use the P-value approach. (b) What is the power of this test, assuming a = 0.05? (c) Assume that the rollover rate of manufacturer A's vehicle is 0.15 higher than B's. Is the sample size sufficient for detecting this difference with probability level at least 0.90, if a = 0.053