Question 1131639
Ho:  X = 0.50
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H1:  X > 0.50
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sample mean proportion = 90/144 = 0.625
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standard error(SE) = square root( 0.625 * (1-0.625) / 144) = 0.0403
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Note we use the sample proportion because we do not know the population proportion
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test statistic = (0.625 - 0.500)/0.0403 = 3.10
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alpha(a) = 0.01
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critical probability(p*) = 1 - (a/2) = 0.995
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the critical value(z-score) associated with p* is 2.57
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Since the test statistic(3.10) does fall within the critical region(2.57), we reject the null hypothesis.
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