An accounting professor is notorious for being stingy in giving out good letter

Question

An accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 115 students in the fall semester, she gave out only 3% As, 21% Bs, 32% Cs, and 44% Ds and Fs. Assuming that this was a representative class, compute the 95% confidence interval of the probability of getting at least a B from this professor. Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" and final answers to 3 decimal places.)

An accounting professor is notorious for being stingy in giving out good letter grades. In a large section of 115 students in the fall semester, she gave out only 3% As, 21% Bs, 32% Cs, and 44% Ds and Fs. Assuming that this was a representative class, compute the 95% confidence interval of the probability of getting at least a B from this professor. Use Table 1. (Round intermediate calculations to 4 decimal places. Round "z-value" and final answers to 3 decimal places.)

Explanation / Answer

p=proportion of getting atleast b=3+21=24%

z=1.96

so 95% CI

0.24-1.96*sqrt(0.24*(1-0.24)/115), 0.24+1.96*sqrt(0.24*(1-0.24)/115)

0.1619, 0.3180

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