A binomial distribution has 50 trials (n = 50)with a probability of success of 0.50 (π = 0.50). We would like to find the probability of 34 or more successes using the normal distribution to approximate the binomial. Applying the continuity correction factor,what z-score should be used?
A)2.404
B)2.546
C)2.687
D)0.50

Question

Quizplus · Accepted Answer

The z-score is calculated using the formula: z = (X - 0.5 - μ) / σ, where X is 34, μ = nπ = 25, and σ = √(nπ(1-π)) = √12.5. This gives z = (34 - 0.5 - 25) / √12.5 = 2.404.

A Binomial Distribution Has 50 Trials (N = 50)with a Probability