read carefully and answer to the correct answer and rounding as possible 1. A polling organization asked a random sample of 18 - 24 years old adults in the United States from what source they got their news. Out of a sample of 1433 18 to 24 year olds, 227 reported The Daily Show with Jon Stewart. Create a 90% confidence interval to estimate the true proportion of 18- 24 years old adults that use The Daily Show as their news source. Round each answer to four decimal places. ( ? , ? ________ ) ________ 2. An environmental organization wants to estimate the proportion of trees that are diseased in a particular forest. A preliminary result from random sampling showed that 8.32% of the trees are diseased and produced the following 95% confidence interval: (0.0605, 0.1059). What is the correct interpretation of this interval? Question options: a. There is a 95% chance that 8.32% of the trees are diseased. b. There is a 95% chance that the sample proportion will fall in the interval 6.05% and 10.59%. c. 95% of the time the true proportion will fall in the interval (0.0605, 0.1059). d. 95% of the time the procedure used will create an interval that contains the true proportion, thus we are 95% confident that the interval (0.0605, 0.1059) contains the true proportion. e. 95% of the time the randomly selected samples will show a proportion that is in the interval (0.0605, 0.1059). f. None of the above choices 3. If we fix the confidence level for a confidence interval, as we decrease the sample size, the margin of error Question options: a. increases b. decreases c. stays the same d. not possible to know. e. None of the above options. 4. A preliminary study suggests that 65% of adults do not exercise on a regular basis. A bigger study is to be conducted to get a more precise estimate, and the researchers want the margin of error to be 1.5% with 95% confidence. Use the estimate to calculate the required sample size for the given restrictions. Note: the answer must be an integer, and you must round up. ________ 5. What percentage of children live in one parent households? Twenty-five different organizations collect random samples independently of each other using appropriate techniques and create 95% confidence intervals to answer this question. What is the probability that 20 or less of the confidence intervals created contain the true proportion? ________ 6. Joan has a strange way to receive a monthly salary her work at a particular company. Every month a random number generator is used to pick one of four possible payments as shown in the table. The random number generator uses an unbiased algorithm. You will also notice that some amounts are more likely to appear as other amounts. a. Joan has 50 paychecks she has received while working at this company sitting at her desk. What is the probability that if we looked at 50 consecutive monthly payments that the average would exceed $5500? ________ b. Joan wonders if the $7210 payment is not occurring as often as it is claimed. Joan considers her 50 paychecks as an unbiased random sample. How many paychecks should she expect out of the 50 to be in the amount of $7210? ________ c. Joan wonders if the $7210 payment is not occurring as often as it is claimed. Suppose she wants to estimate the true probability of getting $7210 using her paychecks as a random sample. She wants to have 95% confidence with a margin of error of 2%. How large must be her sample size? Round up. ________