You need to show your work (formula setup, calculations, etc.) and state any properties or rules you need to solve the problems.

A researcher wants to know the proportion of students that enjoy fast food from a certain university. He collected a random sample of 460 students from that university and ask them to answer yes or no to his research question: "Do you like fast food?". Out of 460 students from the sample, 195 of them answered "yes".

1) What is the point estimate for the population proportion?

2) Calculate and interpret an 80% confidence interval for the population proportion. Specify and check any conditions required to construct this interval.

3) If the question asks to find a 90% confidence interval instead, what would be the value of the multiplier (z*)? (2 points)