The instructor thinks that the students may have answered the questions by guessing, so that the probability that any given answer is correct is . Under this null hypothesis, the number of correct answers has a binomial distribution with trials and success probability . Perform a chi-square test of this hypothesis. Can you reject at the level? Use the -value method with the TI- Plus calculator.

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.