Which of the following statements about a 99% confidence interval for p is true? I. A 99% confidence interval for p will contain the true p 99% of the time. I. The margin of error (d) will increase as N increases. Ill. The point estimate will always be included at the center of a 99% confidence interval. - 1 only - 2 and 3 only - 3 only - all of the above 2. You decide to conduct a poll of FIU students in order to determine the percentage of students (p) who agree with the statement "Hot-dogs are one of my favorite foods". In your poll, you find that 85 out of 100 students agree. Compute a 95% confidence interval for p. O [0.78, 0.921 0 [0.76,0.94] O [0.7, 1.01 O [0.77,0.93] O Cannot be determined 3. You decide to conduct a poll of FIU students in order to determine the percentage of students (p) who agree with the statement "Hot-dogs are one of my favorite foods". In your poll, you find that 85 out of 100 students agree. Compute a 99% confidence interval for p. O [0.7, 1.01 O Cannot be Determined O [0.77, 0.931 O [0.78,0.921 O [0.76,0.941 4. You wish to poll N FIU students in order to determine the percentage of students (p) who agree with the statement "Hot-dogs are one of my favorite foods". Assume that the value of p is approximately equal to 0.8. How many students (N) should you include in your next poll so that that the margin of error of a 95% confidence interval of p is at most 2.5%? 5. You wish to poll N FIU students in order to determine the percentage of students (p) who agree with the statement "Hot-dogs are one of my favorite foods". Assume that the value of p is approximately equal to 0.8. How many students (N) should you include in your next poll so that that the margin of error of a 99% confidence interval of p is at most 2.5%