confidence Intervals

1. Correctly Interpret the Confidence Interval To estimate the proportion of students who work full time while going to college full time at a certain college, a random sample of 250 students was obtained. Of the 250 students, 78 worked full time and went to college full time, which resulted in a 95% Confidence interval of (0.25, 0.37). What is the appropriate interpretation of this confidence interval? With 95% confidence, the interval between 25 % and 37 % contains the true proportion of all students at this college who work and go to college full time. and 37 %. 95% of the students at this college who work and go to school full time fall between 25 % The chance that the true proportion of all college students who work and go to school full time is between 25 % and 37 % is 95%. "We are 95% confident that the interval between 25 % and 37 % contains the proportion of the 250 students at this college who work and go to college full time. "There's a 95% chance the proportion of all students who work full time and go to college full time is between 25 % and 37%. 2. Correctly Interpret the Confidence Interval There was a survey that asked 500 residents in Utah whether they planned to attend a firework celebration in the month of July. In the survey 320 said they would attend a firework celebration and their responses resulted in a 99% confidence interval of (0.58, 0.7). Which of the following is the correct interpretation of the confidence interval? "We are 99% confident that the interval between 58 % and 70 % captures the proportion of all Utah residents who plan to attend a fireworks celebration in the month of July. Utah residents will go to a firework celebration in the month of July between 58 % and 70 % of the time. There's a 99% probability that the proportion of all Utah residents who will attend a firework celebration in July is between 58 % and 70%. We are 99% confident that the interval between 58 % and 70 % contains the proportion of the 500 Utah residents who will attend a firework celebration in the month of July. 99% of Utah residents will attend a fireworks celebration between 58% and 70% of the time. 3.Compute a Confidence Interval with given SE. A poll was conducted to determine who was ahead in a political race for Governor. The survey found that 321 of 550 planned to vote for the incumbent. The standard error of this estimate was about 0.021. Compute a 95% confidence interval for this survey. Remember that the 95% confidence interval can be calculated: point estimate+1.96.SE For this problem round the point estimate to 3 decimal places, if needed. Fill in the blanks: +1.96