In the primaries leading up to the 2016 presidential election, a news website reported that the two politicians were in a "statistical tie" in the polls leading up to a state primary. Politician A led politician B 43% to 35% in the polls, with a margin of error of 5.2%. Explain what this this means to someone who may be unfamiliar with margin of error and confidence intervals. . . . The confidence interval for politician A is (%, %) and the confidence interval for politician B is (%, %) . Since the intervals we predict that politician A is favored over politician B to win, with this margin of error. (Round to one decimal place as needed.)If you walked around your school campus and asked people you met how many keys they were carrying, would you be obtaining a random sample? Explain. (I) Choose the correct answer below. 0 A. No, you would be obtaining a biased sample. 0 B. No, you would be obtaining a convenience sample and not a random sample. 0 C. As long as you surveyed at least 100 people you would be obtaining a simple random sample. 0 D. Yes, you would be obtaining a random sample. According to a newspaper, 68% of high school seniors have a driver's license. Suppose we take a random sample of 200 high school seniors and nd the proportion who have a driver's license. a. What value should we expect for our sample proportion? b. What is the standard error? 6. Use your answers to parts (a) and (b) to complete this sentence: We expect _% to have their driver's license, give or take %. d. Suppose we increased the sample size from 200 to 600. What effect would this have on the standard error? Recalculate the standard error to see if your prediction was correct. E) a. We should expect a sample proportion of D%. (Type an integer or a decimal. Do not round.) b. The standard error is E. (Type an integer or decimal rounded to three decimal places as needed.) 6. Use your answers to ll in the blanks below. We expect I:% of students to have a driver's license, give or take |:|%. (Type integers or decimals rounded to one decimal place as needed.) d. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal rounded to one decimal place as needed.) O A. The standard error would remain the same. The standard error is still %. O B. We cannot determine what would happen to the standard error without performing the calculation. After performing the calculation, the new standard error is %. O C. The standard error would increase. The new standard error is % . O D. The standard error would decrease. The new standard error is %.In 2018 it was estimated that approximately 43% of the American population watches the Super Bowl yearly. Suppose a sample of 134 Americans is randomly selected. After verifying the conditions for the Central Limit Theorem are met, nd the probability that the majority (more than 50%) watched the Super Bowl. E) First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition The Large Samples condition The Big Populations condition reasonably be assumed to hold. The probability is E (Type an integer or decimal rounded to three decimal places as needed.) According to data released in 2016, 69% of students in the United States enroll in college directly after high school graduation. Suppose a sample of 178 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are met, nd the probability that at most 62% enrolled in college directly after high school graduation. E) First, verify that the conditions of the Central Limit Theorem are met. The Random and Independent condition The Large Samples condition The Big Populations condition reasonably be assumed to hold. The probability is E (Type an integer or decimal rounded to three decimal places as needed.) A poll in 2017 reported that 693 out of 1013 adults in a certain country believe that marijuana should be legalized. When this poll about the same subject was rst conducted in 1969, only 12% of the adults of the country supported legalization. Assume the conditions for using the CLT are met. Complete parts (a) through (d) below. a. Find and interpret a 99% condence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized. The 99% condence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized is (|:|,D). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and ll in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) O A. We are |:% condent that the population proportion of adults who believe marijuana should be legalized is between and B. There is a % chance that the population proportion of adults who believe marijuana should be legalized is between and . O O c_ We are |:% condent that every sample proportion of adults who believe marijuana should be legalized is between D and D. O D. There is a |:|% chance that the sample proportion of adults who believe marijuana should be legalized is between D and D. b. Find and interpret a 95% condence interval for this population parameter. The 95% condence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized is (|:|,|:|). (Round to three decimal places as needed.) Interpret this interval. Select the correct choice below and ll in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) 0 A. We are |:|% condent that every sample proportion of adults who believe marijuana should be legalized is between D and D. O B. There is a |:|% chance that the sample proportion of adults who believe marijuana should be legalized is between El and D. O c_ We are |:|% condent that the population proportion of adults who believe marijuana should be legalized is between D and D. O D. There is a |:|% chance that the population proportion of adults who believe marijuana should be legalized is between D and D. c. Find the margin of error for each of the confidence intervals found in parts (a) and (b). The margin of error of the 99% confidence interval is and the margin of error of the 95% confidence interval is (Round to three decimal places as needed.) d. Without computing it, how would the margin of error of a 90% confidence interval compare with the margin of error for the 95% and 99% intervals? Construct the 90% confidence interval to see if your prediction was correct. How would a 90% interval compare with the others in the margin of error? O A. The margin of error of a 90% confidence interval will be less than the margin of error for the 95% and 99% confidence intervals because intervals get wider with increasing confidence level. O B. The margin of error of a 90% confidence interval will be greater than the margin of error for the 95% confidence interval and less than the margin of error for the 99% confidence interval because intervals get wider with increasing confidence level. O C. The margin of error of a 90% confidence interval will be less than the margin of error for the 95% and 99% confidence intervals because intervals get narrower with increasing confidence level. O D. The margin of error of a 90% confidence interval will be more than the margin of error for the 95% and 99% confidence intervals because intervals get wider with increasing confidence level.Construct the 90% confidence interval to see if your prediction was correct. The 90% confidence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized is ( , ). The above prediction is because the 90% confidence interval is than the 95% confidence interval and than the 99% confidence interval.In a simple random sample of 800 people age 20 and over in a certain country, the proportion with a certain disease was found to be 0.150 (or 15.0%). Complete parts (a) through (d) below. a. What is the standard error of the estimate of the proportion of all people in the country age 20 and over with the disease? SEest = '1 (Round to four decimal places as needed.) b. Find the margin of error, using a 95% condence level, for estimating this proportion. m=j (Round to three decimal places as needed.) 6. Report the 95% condence interval for the proportion of all people in the country age 20 and over with the disease. I)- d. According to a government agency, nationally, 16.2% of all people in the country age 20 or over have the disease. Does the condence interval you found in part (6) support or refute this claim? Explain. The 95% condence interval for the proportion is ( (Round to three decimal places as needed.) The condence interval V this claim, since the value |:| |::l contained within the interval for the proportion. (Type an integer or a decimal. Do not round.)