UCLA would like to conduct a study to estimate the proportion of all UCLA students attending synchronous remote classes that turn on their video cameras. How many UCLA undergraduate students should be surveyed if the desired width of the interval is at most 8% and a 98% confidence level will be used? Assume all relevant assumptions have been met. A. 30 students B. 212 students C.213 students C. 845 students D. 846 students

(in hours): 7, 6, 7, 8.5, 8, 9, 6.5 a. Find the mean, median, mode and standard deviation for their hours of sleep. b. Create a 99% confidence interval for the mean amount of hours they slept.

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According to recent data by the American Marketing​ Association, 76.5​%of people in the​ 18-24 age group used social media in 2017. You want to find out what the social media proportion is among your classmates who are all between 18 and 24 years old. Suppose you obtain a random sample of 229 students and find that 202 students in this sample are active social media users. Complete parts a through c below.   a. Construct a 99​% confidence interval to estimate the actual proportion of social media users. A 99​% confidence interval to estimate the actual proportion has a lower limit of------ and an upper limit of------- ​(Round to three decimal places as​ needed.) b. What is the margin of error for this​ sample? c. Is there evidence that this proportion matches that of the overall population based on the​ sample?

2. According to the website Rotten Tomatoes, 94% of people who watched the Netflix show Stranger Things liked it. Since UR students tend to be scientifically minded, we hypothesize that less than 94% of UR students like the show. Out of 219 surveyed UR students, 198 indicated they like Stranger Things. Use the built in prop.test() function to: a. Construct a 90% confidence interval for the proportion of UR students who like Stranger Things. b. Test at the a=0.10 significance level whether the proportion of students who like Stranger Things is LESS THAN 0.94. What conclusion do you reach?

If the analyst decides to increase the sample size (n) from 75 to 100, while maintaining the same confidence level, the width of the confidence interval would then: fluctuate up and down. remain unchanged. decrease. increase.

A random sample of 1000 NAU students in Flagstaff found 470 NAU students who drink coffee daily. Find a 95% confidence interval for the true percent of NAU students in Flagstaff who drink coffee daily. Express your results to the nearest hundredth of a percent.  Answer ___to____%