A confidence interval is a measure of risk and error. By making more and more replications, we can simulate away error and risk, which are inherent part of the system. Select one: O True False
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- Kit and Casey are each attempting to estimate the proportion of college students who can play at least one musical instrument. They each survey a different random sample of college students, and in each sample, the proportion who can play at least one musical instrument is 0.35. Kit and Casey each use their sample data to construct a confidence interval. Kit's interval is from 0.308 to 0.372 and Casey's interval is from 0.318 to 0.382. One of these intervals was computed correctly, but the other was not. Which interval must be incorrect? O Kit's interval must be incorrect. O It's impossible to answer this question without knowing the sample sizes. O It's impossible to answer this question without knowing the sample sizes or the level of confidence used for each interval. O Casey's interval must be incorrect. O It's impossible to answer this question without knowing the level of confidence used for each interval.A Pew Internet Project Data Memo presented data comparing adult gamers with teen gamers with respect to the devices on which they play. The data are from two surveys. The adult survey had 1063 gamers, while the teen survey had 1064 gamers. The memo reports that 54% of adult gamers played on game consoles (Xbox, PlayStation, Wii, etc.), while 89% of teen gamers played on game consoles. Suppose you want to construct a 95% confidence interval for the difference. You want to test were or not the two proportions (adult using consoles vs teens using consoles) are the same. You have to calculate a pooled estimate for the proportion. What would that be? (Please round to three decimal places)For each scenario listed on the left, determine whether the scenario represents an Indepenent Samples or Matched pairs situation by placing the appropriate letter in the box provided. -ab Comparing the number of speeding tickets received by men to the number received by women -ab Comparing pain levels before and after treatment with magnetic therapy -ab Comparing pre-test scores before training to post-test scores -ab Comparing pain levels of a group receiving a placebo to a group receiving a medicine Matched Pairs Independent Samples
- Part A. Depression affects many people. 25 out of 100 people with untreated depression will lose at least one friendship while not receiving treatment. On the other hand, when people with depression are treated with medication and counseling, only 2 out of 100 will lose at least one friendship during treatment. The absolute risk of losing at least one friendship while being treated with medication and counseling is Answer: 2 / 100 = 0.02 = 2%Scenario: A researcher wants to see whether ESP abilities in psychics differ based on environment. Thus, the researcher has psychics predict card suits in both a fortune-telling environment (e.g., low lighting, candles, a crystal ball), and in a standard lab environment. They complete 100 trials of the task in each environment, with the environment type counterbalanced between participants. All 30 psychics completed the card prediction task in both environments. Accuracy rates are compared. Question: What is the dependent variable in this scenario? Group of answer choices Environment Accuracy rate ESP Card suitExample 8.11 For a class project, a political science student at a large university wants to estimate the percent of students who are registered voters. He surveys 500 students and finds that 300 are registered voters. Compute a 90% confidence interval for the true percent of students who are registered voters, and interpret the confidence interval.
- The contingency table below shows the blood types of a sample of patients cross classified by gender. How many women with blood type AB would you expect if there was no association between these two variables? A AB Total Female 42 55 11 4 112 Male Total 55 43 16 120 97 98 27 10 232 O 5.2 O 10 O 4.8 4.Construct a 95% confidence interval for p1 - p2 for a survey that finds 30% of 240 males and 41% of 200 females are opposed to the death penalty. Group of answer choices a.(-0.200, -0.021) b.(-1.532, 1.342) c.(-1.324, 1.512) d.(-0.561, 0.651)a firm has two investment projects project A : expected profit = $ 670 SD = 175 coefficient of varience = 0.26 project B : expected profit = $700 SD = 370 coefficient of variance = 0.53 a. which project has a lower absolute risk ? b. whick project has a lower relative risk ? C . which project would you advice the firm to choose ?
- Statistical studies have repeatedly shown that about 85% of all bicyclists where helmets. Further studies reveal that about 80% of those wearing helmets do not have head injuries. We do not have any data as to whether those who wear helmets are more safety conscious and therefore have fewer accidents. We do know that about 20% of those who do not wear helmets also experience no head injuries. That’s all the data we have. Mr. X was in a bicycle accident and suffered a head injury. (we do not know anything else, so do not try to factor in all sorts of possible scenarios). Given the above information what is the probability that Mr. X was wearing a helmet? H = Mr. X was wearing a helmetE = head injury The prior, p(H) = .85 Why? What does that figure represent?What is p(~H)?What is p(E|H)?What is p(E|~H)? Using Bayes’s formula what is the p(H|E)?(display the formula), and..Explain which way the final probability (the posterior) was revised…up or down. Why?If two people used the same data and one person made a 90% confidence interval and the other person made a 95% confidence interval for p, which interval would be more narrow? is it; a. The 90% Confidence interval b. The 95% Confidence interval c. We cannot tell from the information alone.Debbie and Ethan are going to construct confidence intervals from the same simple random sample. Debbie's confidence interval will have a 98% confidence interval and Ethan's will have a 95% confidence interval. A. Which confidence interval, if there is a difference will have a larger margin of error? B. Which confidence interval is more likely to cover the population mean, if there is a difference I am using a Ti84 and need to know how to get the answer.