A teacher is interested in her students’ opinion on whether thenon-required lecture is effective for them. She flips a coin everytime a student walks into lecture and if it lands heads, she asksthat student if they find lecture effective and records theiranswer.
(a) Are there any issues with creating a confidence intervalwith this sample if our parameter of interest is the proportion ofenrolled students who find lecture effective? Explain briefly.
(b) Another lecturer asks a random sample of his students tocomment on the efficacy of his lecture and fifty two (52) of the 80students interviewed reported finding the lecture effective. Createa 98% confidence interval for the proportion of students who findhis lecture effective.