The p-value of the given sample statistic is; 0.0314
We are given;
Sample size; n = 514
Number of success; x = 236
p = 0.5
p^ = 236/514 = 0.459
The formula for z-score is;
z = (p^ - p)/(p(1 - p)/n)
z = (0.459 - 0.5)/√(0.5(1 - 0.5)/514)
z = -1.86
From online p-value from z-score calculator using α = 0.01, we have;
p-value = 0.0314
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