A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. Suppose that based on the survey, 70 of the 200 students responded "yes." a) What is the value of the sample proportion p? b) What is the standard error of the sample proportion? c) Construct an approximate 95% confidence interval for the true proportion p by taking 2 SEs from the sample proportion. a) = 0.35 (Type an integer or a decimal.) b) The standard error of the sample proportion is (Round to three decimal places as needed.) From a survey of coworkers you find that 43% of 150 have already received this year's flu vaccine. An approximate 95% confidence interval is (0.349,0.511). Which of the following are true? If not, explain briefly. a) 95% of the coworkers fall in the interval (0.349,0.511). b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 34.9% and 51.1%. c) There is a 95% chance that a randomly selected coworker has received the vaccine. d) There is a 43% chance that a randomly selected coworker has received the vaccine. e) We are 95% confident that between 34.9% and 51.1% of the samples will have a proportion near 43%. a) Choose the correct answer below. A. The statement is false. 43% of the coworkers fall in the interval (0.349,0.511). B. The statement is false. This doesn't make sense because workers are not proportions. OC. The statement is true. OD. The statement is false. The sample size is too small to make this claim