A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This phenomenon is known as a “big bang.”) Marilyn responded that this proportion seemed too high to be believable. Let p be the proportion of all major-league baseball games in which a “big bang” occurs. To investigate this claim, we randomly selected one week of the 2006 major-league baseball season, which turned out to be July 31-August 6, 2006. Then we examined the 95 games played that week to determine which had a big bang and which did not. Of the 95 games in our sample, 47 contained a big bang. Use a two-sided alternative, state the null and alternative hypothesis (in symbols and in words) for testing Marilyn’s claim. 7. Determine the test statistic and p-value. 8. What conclusion would you draw concerning Marilyn’s conjecture using the same α=0.01 significance. 9. Use the sample data to produce a 95% confidence interval to estimate the proportion of all major-league baseball games that contain a big bang.

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A reader wrote in to the “Ask Marilyn” column in Parade magazine to say that his grandfather told him that in three-quarters of all baseball games, the winning team scores more runs in one inning than the losing team scores in the entire game. (This phenomenon is known as a “big bang.”) Marilyn responded that this proportion seemed too high to be believable. Let p be the proportion of all major-league baseball games in which a “big bang” occurs.

To investigate this claim, we randomly selected one week of the 2006 major-league baseball season, which turned out to be July 31-August 6, 2006. Then we examined the 95
games played that week to determine which had a big bang and which did not. Of the
95 games in our sample, 47 contained a big bang.

Use a two-sided alternative, state the null and alternative hypothesis (in symbols and in words) for testing Marilyn’s claim.


7. Determine the test statistic and p-value.


8. What conclusion would you draw concerning Marilyn’s conjecture using the same α=0.01 significance.


9. Use the sample data to produce a 95% confidence interval to estimate the proportion of all major-league baseball games that contain a big bang.

This is a continuation of previous answers to the previous problem. Please help. Please I am desperate.

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