III. Solve the following problems. 1 1. A random sample of size 200 were selected from a binomial probability with p = 0.13. Is it appropriate to use the normal distribution to approximate the sampling distribution of the sample proportion? 12. Find the point estimate, standard error, and 99% confidence interval for the proportion of workers who are satisfied with their jobs if 340 out of 650 surveyed employees say they are satisfied with their present jobs. 13. Suppose you want to construct an 80% confidence interval for the proportion of businesses that provide incentives to their workers. If you want a margin of error of 3.5%, how many business entities must you survey? 14. One hundred fifty high school students were surveyed, and it was found that 68% of them are using the internet for a minimum of 3 to 5 hours a day. a. If we want a margin of error of 3%, how many students do we need to construct a 95% confidence interval for the proportion of the students who are using the internet for a minimum of 3 to 5 hours a day? b. With 95% confidence interval, what interpretation can we make regarding the proportion of the students who are using the internet for a minimum of 3 to 5 hours a day