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 first 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% confidence interval for the proportion of adults in the country in 2017 that believe marijuana should be legalized. The 99% confidence 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 fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) O A. We are % confident that the population proportion of adults who believe marijuana should be legalized is between and O B. There is a % chance that the population proportion of adults who believe marijuana should be legalized is between and O C. We are % confident that every sample proportion of adults who believe marijuana should be legalized is between and O D. There is a % chance that the sample proportion of adults who believe marijuana should be legalized is between andb. Find and interpret a 95% confidence interval for this population parameter. The 95% confidence 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 fill in the answer boxes to complete your choice. (Type integers or decimals rounded to three decimal places as needed.) O A. We are % confident that every sample proportion of adults who believe marijuana should be legalized is between and O B. There is a % chance that the sample proportion of adults who believe marijuana should be legalized is between and O C. We are % confident that the population proportion of adults who believe marijuana should be legalized is between and O D. There is a % chance that the population proportion of adults who believe marijuana should be legalized is between andc. 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.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