Find the z-score when n = 1003, x = 552, p = 50%.
a. z = +3.19 b. z = +5.0 c. z = −3.19 d. z = −5.0
Solution :
Given that,
p = 0.50
1 - p = 1 - 0.50 = 0.50
n = 1003
Using binomial distribution,
= n * p = 1003 * 0.50 = 501.5
= n * p * q = 1003 * 0.50 * 0.50 = 15.84
x = 552
Using z-score formula,
z = x - /
z = 552 - 501.5 / 15.84
z = 3.19
correct option is = a
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