Question 3 3. Suppose researchers calculated the 95% confidence interval to be (0.4145, 0.4675). What is the correct interpretation of this interval? There is a 95% probability that the true...


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Question 3<br>3. Suppose researchers calculated the 95%<br>confidence interval to be (0.4145, 0.4675).<br>What is the correct interpretation of this<br>interval?<br>There is a 95% probability that the true<br>proportion of all U.S. adults who spend more<br>than 20 hours a week on a computer at home<br>lies between 0.4125 and 0.4675.<br>We are 95% confident that the true sample<br>proportion of U.S. adults who spend more than<br>20 hours a week on a computer at home lies<br>between 0.4125 and 0.4675.<br>We are 95% confident that the true proportion<br>of all U.S. adults who spend more than 20 hours<br>a week on a computer at home lies between<br>0.4125 and 0.4675.<br>95% of adults lie between 0.4125 and 0.4675<br>D Question 4<br>4. Suppose the researchers decided to take a<br>sample of size 200 rather than that of 81.<br>How would this change the margin of<br>error?<br>The margin of error would decrease<br>The margin of error would stay the same<br>The margin of error would increase<br>

Extracted text: Question 3 3. Suppose researchers calculated the 95% confidence interval to be (0.4145, 0.4675). What is the correct interpretation of this interval? There is a 95% probability that the true proportion of all U.S. adults who spend more than 20 hours a week on a computer at home lies between 0.4125 and 0.4675. We are 95% confident that the true sample proportion of U.S. adults who spend more than 20 hours a week on a computer at home lies between 0.4125 and 0.4675. We are 95% confident that the true proportion of all U.S. adults who spend more than 20 hours a week on a computer at home lies between 0.4125 and 0.4675. 95% of adults lie between 0.4125 and 0.4675 D Question 4 4. Suppose the researchers decided to take a sample of size 200 rather than that of 81. How would this change the margin of error? The margin of error would decrease The margin of error would stay the same The margin of error would increase
4:<br>A study was conducted in order to estimate<br>the proportion of U.S. adults that use a<br>computer at home more than 20 hours a week.<br>Suppose 36 out of a random sample of 81<br>adults use a computer at home more than 20<br>hours a week.<br>Question 1<br>1. Is the sample size large enough to compute<br>a confidence interval for the proportion of<br>U.S. adults who spend more than 20 hours<br>a week on a home computer?<br>Yes, because the sample size is greater than 30<br>Yes, because more than 10 adults did not spend<br>more than 20 hours a week on a home computer<br>Yes, because more than 10 adults spent more<br>than 20 hours a week on a home computer<br>O Yes, because both np and n(1-p) are greater than<br>10<br>Question 2<br>2. Suppose that p is 0.6 and the standard<br>error of p is 0.025 and that all conditions<br>are met. Compute a 95% confidence<br>interval for the proportion of adults who<br>spend more than 20 hours a week on a<br>home computer.<br>O (0.55, 0.6)<br>(0.575, 0.625)<br>(0.551, 0.649)<br>(0.6, 0.65)<br>

Extracted text: 4: A study was conducted in order to estimate the proportion of U.S. adults that use a computer at home more than 20 hours a week. Suppose 36 out of a random sample of 81 adults use a computer at home more than 20 hours a week. Question 1 1. Is the sample size large enough to compute a confidence interval for the proportion of U.S. adults who spend more than 20 hours a week on a home computer? Yes, because the sample size is greater than 30 Yes, because more than 10 adults did not spend more than 20 hours a week on a home computer Yes, because more than 10 adults spent more than 20 hours a week on a home computer O Yes, because both np and n(1-p) are greater than 10 Question 2 2. Suppose that p is 0.6 and the standard error of p is 0.025 and that all conditions are met. Compute a 95% confidence interval for the proportion of adults who spend more than 20 hours a week on a home computer. O (0.55, 0.6) (0.575, 0.625) (0.551, 0.649) (0.6, 0.65)
Jun 06, 2022
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