Consider a population proportion p 0.85. a-1. Calculate the expected value and t

Question

Consider a population proportion p 0.85. a-1. Calculate the expected value and the standard deviation of P with n 43. (Round your intermediate calculations to 4 decimal places, "expected value" to 2 decimal places and "standard deviation" to 4 decimal places.) Expected value Standard deviation a-2. Is it appropriate to use the normal distribution approximation for P? Yes O No b-1. Calculate the expected value and the standard deviation of P with n-44. (Round your intermediate calculations to 4 decimal places, "expected value" to 2 decimal places and "standard deviation" to 4 decimal places.) Expected value Standard deviation b-2. Is it appropriate to use the normal distribution approximation for P? Yes O No

Explanation / Answer

p = 0.85

A-1) n = 43

Expected value = p = 0.85

Standard deviation = sqrt (p * (1-p)/n) = sqrt (0.85 * (1-0.85)/43) = 0.0544

A-2) n(1-p) = 43 * 0.15 = 6.45

Since bother np and n(1-p) are greater than 5, it is appropriate to use normal distribution.

Option-A) yes.

B-1) expected value = p = 0.85

Standard deviation = sqrt (p*(1-p)/n) = sqrt(0.85 * 0.15 / 44) = 0.0538

B-2) Option-A) yes

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