You 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 80 out of 100...

You 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 80 out of 100 students agree.  You conduct a two-sided hypothesis test where H₀: p = 0.7, where p is the proportion of students whose favorite food is hot dogs. Which of the following statements are true:

                                                                   I. You reject the null hypothesis when α = 0.05

                                                                   II. You reject the null hypothesis when α = 0.01

                                                                   III. The test statistic (Z) equals Z = +1.5