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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- The ability to find a job after graduation is very important to GSU students as it is to the students at most colleges and universities. Suppose we take a poll (random sample) of 3878 students classified as Juniors and find that 3241 of them believe that they will find a job immediately after graduation. Find the 95% confidence interval for the proportion of GSU Juniors who believe that they will, immediately, be employed after graduation. Use Z = 1.96. Use the unrounded values in Excel to find the answers to #2, #3 and #4. 1. Find the sample proportion of GSU Juniors who believe that they will, immediately, be graduation. 2. The standard error for sample proportion has a value of 3. The margin of error has a value of --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.A researcher wanted to check whether the percentage of Canadian adults with obesity has decreased in 2009 compared to 2005. He used Health Canada data. He randomly selected 75 Canadian adults from 2005 data and found 12 of them are obese; In a random sample of 120 Canadian adults from 2009 data, he found 17 of them are obese. He wants to develop a 96% confidence interval for the change is obese percentage. Let population1 be 2005 data and population2 be 2009 data. Write down the critical value.
- 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.2. A study investigated 62 students who were randomly assigned into two equal size groups. Group A could listen to music as they studied for a big test, while group B was not allowed to listen to music. After the exam, they calculated a 95% confidence interval for the mean difference in scores between groups, which was (-1.2, 3.4). Explain what one can conclude from this confidence interval. Does it appear that is better to study while listening to music?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.Part 3. Assume that an advertisement claimed 32% of cellphone owners aged 18-24 have an android phone. Does the confidence interval contradict this claim? the confidence interval (a) does (b) does not contradict the claim because 0.32 (a)is (b) is not contained in the conf
- 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.You want to estimate the proportion of park visitors that bring food to the park. If you took an SRS of visitors, and 43 out of 100 visitors brought food with them, find the 95% confidence interval for the proportion of visitors that bring food. The Parks Department found that 48% of visitors to parks brought food to the park back in 2005. Use the results from the first part to see if that proportion has changed. Be sure to include appropriate hypotheses, the p-value, and your conclusions.