Question

You wish to test the following claim ( H a H a ) at a significance level of α = 0.005 α = 0.005 . H o : p 1 = p 2 H o : p 1 = p 2 H a : p 1 ≠ p 2 H a : p 1 ≠ p 2 You obtain 85.3% successes in a sample of size n 1 = 313 n 1 = 313 from the first population. You obtain 74.8% successes in a sample of size n 2 = 787 n 2 = 787 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

Answers :

The test statistic is z = 3.78

p value = 0.0002

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The p-value is p = 0.0002 and since 0.0002 < 0.05 =level of significance, it is concluded that the null hypothesis is rejected.