A new radar system is being developed to successfully detect a majority of packages dropped by airplane. In a series of random trials, the radar detected the packages being dropped 39 times out of 56. (a) Calculate the point estimate, standard error, margin of error, and the appropriate bound for an 80% one-sided confidence interval/bound for the proportion of all packages being dropped that are detected. (Round your answers to 4 decimal places, if needed.) Point estimate = Standard error = Margin of error = The corresponding interval is ( 1). (b) Based on this one-sided confidence interval, does a population proportion value of 0.7 seem appropriate? O No, since the interval is completely above 0.7. O Yes, since the interval is completely above 0.7. O No, since the interval contains 0.7. O Yes, since the interval contains 0.7.

Researchers studying the spread of an insect called the hemlock woolly adelgid find that the bugs have infested 23% of a random sample of 345 hemlock trees in the study area. What's a 99% confidence interval for the population proportion of infested hemlock trees in the study area?

A poll reported that only 1316 out of a total of 1746 adults in a particular region said they had a​ "great deal of​ confidence" or​ "quite a lot of​ confidence" in the military. Assume the conditions for using the CLT are met. Complete part​ (a)  (a) Find a 95​% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the​ military, and interpret this interval. The 95​% confidence interval for the proportion that express a great deal of confidence or quite a lot of confidence in the military is: (  ? ,  ? )

A recent survey showed that 42% of US employers were likely to require higher employee contributions for health care coverage. Suppose the survey was based on a sample of 500 companies. Find the 99% confidence interval for the proportion of all companies likely to require higher employee contributions for health care coverage. (Round to four decimal places)