Question

You wish to test the following claim ( H a ) at a significance level of α = 0.002 . H o : p 1 = p 2 H a : p 1 < p 2 You obtain 83 successes in a sample of size n 1 = 611 from the first population. You obtain 116 successes in a sample of size n 2 = 625 from the second population. Use the normal distribution as an approximation for the binomial distribution. What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. There is not sufficient evidence to warrant rejection of the claim that the first population proportion is less than the second population proportion. The sample data support the claim that the first population proportion is less than the second population proportion. There is not sufficient sample evidence to support the claim that the first population proportion is less than the second population proportion.

Answer 1