Question

In: Statistics and Probability

Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample...

Suppose that 60% of registered voters support candidate A. A pollster will obtain a random sample of 200 registered voters. What is the probability that at least 126 of the individuals in the sample support A? Do not employ a continuity correction.

0.8078

0.2447

0.1922

0.0749

0.5956

Expert Solution

Solution :

Given that,

p = 0.60

q = 1 - p = 1 - 0.60 = 0.40

n = 200

Using binomial distribution,

= n * p = 200 * 0.60 = 120

= n * p * q = 200 * 0.60 * 0.40 = 6.93

Using continuity correction ,

P(x > 126) = 1 - P(x < 126 )

= 1 - P((x - ) / < (126 - 120) / 6.93)

= 1 - P(z < 0.87 )

= 1 - 0.8078

= 0.1922

orchestra answered 2 years ago

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