Hi
Ho: p ≤ 0.2 (Hypothesis)
Ha: p > .2
sample proportion = p-hat = .24
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test stat:: z(0.24) = (0.24-0.2)/sqrt[0.2*0.8/100] = .04/.04 = 1
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p-value = P(z > 1) = .1587 0r 15.87%
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Conclusion:
Since the p-value is greater than 1%, accept the Hypothesis