The correct answers are highlighted in orange. Could you please explain why it is the correct answer and the process to calculate it?

Survey USA asked 500 randomly sampled San Franciscans the following question: "In general, are technology companies doing too much to help the government fight terrorism? Too little? Or just about the right amount?" The distribution of responses by age group is shown below _ (suppose that the exact age of each respondent was not collected) Age Group 18 -49 50+ Total 44 58 Opinion Too Much 14 Too Little 96 126 222 About The Right Amount 84 73 157 Not Sure 41 22 63 Total 265 235 5001. (7 points) In evaluating the relationship between opinion on whether technology\" companies help the government ght terrorism or not, and age, what is the true statement? a. The results can be generalized to all US population. b. This study is designed to establish the causal relationship between the explanatory variable (age) and the response variable (opinion) 0. The result will be the same even if the researcher conducts a cluster sampling on the same population, because it enables random sampling from each cluster. d.The result can be well visualized by mosaic bar plot, rather than by side-by-side box plot. e. The probability of respondents answering 'Too much' and who are in age 1849 is equal to P(Too Much) x P[age 18 49) 2. (7 points) What is the probability that in a random sample of five 18-49 year olds residents of San Francisco, exactly only the first two people belive that technology companies are doing too little to help the government fight terrorism? a. (21 )2(182)3 b. (41 )2(104) 3 C. 96 2 ( 169 265 265 d. (169 \\2 ( 96 3 265 265 e. None of above are correct3. (7 points) What is the probability that in a random sample of ten 50+ year olds residents of San Francisco, at least one belives that technology companies are doing too much to help the government ght terrorism? a. g 10 b. %)10 c. 1 (f d. 1 (333))\" e. None of above are correct 4. (7 points) Research question: The respondents of age 18-49 tend to believe that technology companies do 'too much' to help the government, more than the senior respondents (50+) belive so. What is the sample statistic that the researcher uses for justication? s _ m a. 265 500 44 14 b' 53 _ 53 c s _ a ' 500 235 d Illl _ 1-1 265 235 5. (7 points) Use the research question. of Question 4: The histogram below is the distribution of 1000 observations of simulation data drawn by Chance model (which means the data follows H0: the proportion of answering 'too much' in age 1849 group is the same as that for the age 50+ group.) Select the correct statement. diff in proportion [Chance Mode!) 260 150 100 50 43.10 4115 0.00 0.05 0.10 a. The sample statistic (observed difference) is rare on the simulation data, therefor: we can reject Hg. b. The observed difference is likely to have happened by chance, so we fail to reject Ho c. The area on the left side of the observed difference (below the statistic) represents the unlikelihood of the sample statistic d. The observed difference cannot tell if H0 can be rejected or not