Giving a test to a group of students, the grades and gender are summarized below Male...

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Question

Giving a test to a group of students, the grades and gender are summarized below Male Female Total A 16 14 30 B 6 5 11 C 18 1

Answer 1

Answer #1

Z for 95% confidence interval = Z_0.025 = 1.96

π = P(male and grade B) = 6 / 74 = 0.081

Confidence interval = (π + Z_0.025 * sqrt(π * (1 - π) / n))

= (0.081 + 1.96 * sqrt(0.081 * (1 - 0.081) / 74))

= (0.081 + 0.062)

= (0.019 , 0.143)

= 0.019 < p < 0.143

Answer 2

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