Question

You wish to test the following claim ( H 1 ) at a significance level of α = 0.005 . H o : p = 0.15 H 1 : p > 0.15 You obtain a sample of size n = 412 in which there are 85 successful observations. 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 population proportion is greater than 0.15. There is not sufficient evidence to warrant rejection of the claim that the population proportion is greater than 0.15. The sample data support the claim that the population proportion is greater than 0.15. There is not sufficient sample evidence to support the claim that the population proportion is greater than 0.15.

Answer 1

The statistical software output for this problem is:

Hence,

Critical value = 2.576

Test statistic = 3.201

The test statistic is in the critical region.

The sample data support the claim that the population proportion is greater than 0.15.