A food company produces cookies to have a certain mass. The company produces 50 000 cookies a day. A study sample found that 87% of cookies had acceptable masses. The results are considered accurate with LaTeX: \pm2.7%, 9 times out of 10. a) What is the confidence level?
b) What is the confidence interval?
c) What is the confidence interval for one day's production? In other words, state the range for the number of acceptable cookies produced in one day.

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.