Sample Hypothesis Test

Question

You wish to test the following claim () at a significance level of .      

      

You obtain 62.7% successes in a sample of size  from the first population. You obtain 54.5% successes in a sample of size  from the second population.

For this test, you should NOT use the continuity correction, and you should use the normal distribution as an approximation for the binomial distribution.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =

What is the p-value for this sample? (Report answer accurate to four decimal places.)

p-value =

Answer 1

p1 = 0.627

p2 = 0.545

pooled proportion = (p1 * n1 + p2 * n2) / (n1 + n2)

test statistic z = (p1 - p2) - 0

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square root ( p * (1-p) * (1/n1 + 1/n2))

Since this is a right-tail test, the p-value is P(Z > z).