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D Question 12 5 pts Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 85 85 88 69 65 85 y 57 48 59 47 43 58 Given that S, *4.144, a * 5.796, b *0.581, and x * 79.500, find a 90% confidence interval for 8 (slope of the population regression line) and interpret its meaning. to = 2.132 The 90% confidence interval for / is from 0.180 to 0.983 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.18 and 0.98. O The 90% confidence interval for , is from 0.200 to 0.962 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.20 and 0.96. O The 90% confidence interval for / is from 0.216 to 0.947 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.22 and 0.95. O The 90% confidence interval for / is from 0.057 to 1.105 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.06 and 1.11. The 90% confidence interval for is from 0.271 to 0.891 and means that for every percentage increase in successful free throws, there is 90% confidence that the percentage of successful field goals increases by an amount between 0.27 and 0.89.D Question 21 5 pts The following table shows the Myers-Briggs personality preferences for a random sample of 400 people in the listed professions. Occupation Extroverted Introverted | Row Total Clergy (all denominations) 65 42 107 M.D. 66 90 156 Lawyer 56 81 137 Column total 187 213 400 Use the chi-square test to determine if the listed occupations and personality preferences are independent at the 0.01 level of significance. Given P-Value