Question 1177259
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Hi
μ = .535

{{{z =blue (x - mu)/sqrt(blue(p(1-p)/n))}}}
 x̄ = .498  n = 580

{{{z =blue (.498 -.535)/sqrt(blue(.535(.465)/580))}}} = -1.7865
P( z ≤  -1.7865) =  .037  0r 3.7%

Wish You the Best in your Studies.
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