A reader wrote in to the "Ask Marilyn"column inParademagazine to say that his grandfather told him that in 3/4 of all baseball games, the winning team scores more runs in one inning that the losing team scores in the entire game.(This phenomenon is known as a "big bang".)Marilyn responded that this proportion seemed to be too high to be believable.To investigate this claim, a statistics professor examined 45 Major League baseball games played on September 17-19, 2010.He found 21 contained a big bang.

Letrepresent the long-run probability of a Major League Baseball game having a big bang.

Refer to Scenario 3. Below are 1000 "could have been" samples from a process assuming the grandfather's claim is true. I used the One-Proportion applet @ to generate this graph. 180 120 O 0.53 0.60 0.67 0.73 0.80 0.87 0.93 Proportion of successes Fill in the inputs I used in the applet: Probability of success (7) | 0.467 Sample size (n) 45 Number of samples 1000