A big concert was held at the Bowl. Men and women had to go through separate lines to get into the concert (the women had to have their purses checked). Once everyone was inside, total attendance at the concert had to be recorded. The turnstile counters on the female entrance showed a total count of 1542 females, but the turnstile counters on the male entrance were broken and there was no exact record of how many males attended. A sample taken from the 200 seats in Section A showed 121 females and 79 males in that section. Using the numbers from Section A, estimate the total attendance at the concert. (HINT: The proportion of females at the concert should be roughly the same as the proportion of females in Section A).
a) Summarize the information provided about the concert attendance.
b) Explain the sampling method used in Section A.
c) Discuss how the proportion of females in Section A can be used to estimate the total attendance.
d) Calculate the estimated total attendance at the concert based on the given information from Section A.