a) A machine at a casino advertises that you will win big with probability 7% each time you play it. You suspect it is less than that. You play the game 500 times and win big in 25 of those games. Perform a hypothesis test. Let α = 0.05. Show all steps. (They are not listed below, so you will need to write them). H 0 : You win big proportion 0.07 of the time: p = 0.07 H 1 : You win big less than 0.07 of the time: p < 0.07 b) If we had α = 0.01, would you come to a different conclusion?

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a) A machine at a casino advertises that you will win big with probability 7% each
time you play it. You suspect it is less than that. You play the game 500 times and win
big in 25 of those games. Perform a hypothesis test. Let α = 0.05. Show all steps. (They
are not listed below, so you will need to write them).
H 0 : You win big proportion 0.07 of the time: p = 0.07
H 1 : You win big less than 0.07 of the time: p &lt; 0.07

b) If we had α = 0.01, would you come to a different conclusion?

 

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