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21. Calculate the value of a and b in this two-way table: Favorite Color age group Red Blue Totals 5-10 37 22 59 11-15 17

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21. Calculate the value of a and b in this two-way table: Favorite Color age group Red Blue Totals 5-10 37 22 59 11-15 17 a 58 Totals b 63 117 a. a = 85, b = 20 c. a = 85, b = 54 b. a = 41, b= 20 d. a = 41, b = 54 22. Given a sample size (n) of 2500 and sample proportion (p-hat) of 0.86, find the margin of error, E, that corresponds to a 99% confidence level. a. 0.014 b. 0.048 c. 0.018 d. 0.007 23. In recent years, a town experienced an arrest rate of 25% for robberies. The new sheriff compiles records showing that among 30 recent robberies, the arrest rate is 30%; he claims that this arrest rate is greater than the 25% arrest rate in the past. Using a 0.05 significance level to test the claim, find the P-value. a. 0.2643 b. 0.6300 C. 0.7357 d. 0.5286

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