At the end of a musical performance in Broadway, the organizers are interested in measuring the level of approval of the show ...

  

3) At the end of a musical performance in Broadway, the organizers are interested in measuring the level of approval of the show . So at the exit of the theater a simple random sample of 42 spectators is selected and to each of them it is required to declare whether the liked the show or not The data collected are reported here below.
 

Yes Yes No Yes No Yes
Yes No No No No Yes
Yes Yes No No No Yes
Yes No No Yes Yes Yes
No No Yes Yes Yes Yes
No Yes Yes No Yes No
Yes No No Yes No No
 

Derive the confidence interval of the proportion of spectators that liked the show with a level of confidence of 95 %
 

4) The International Air Transport Association (IATA) surveys, on a regular basis, business travelers to develop quality ratings for the major transatlantic gateways airports. The rating is expressed with a grade between 0 and 10. Suppose a Simple Random Sample of 10 business travelers is selected and each traveler is asked to provide a ranking for the Miami International Airport.The ratings obtained in
the sample of 10 business travelers are reported here below
 

6 7 6 4 8 7 9 5 7 6
 

Develop the 90 % confidence interval estimate of the population mean rating for Miami Airport.