Question

You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly less than 0.37. You use a significance level of α = 0.005 . H 0 : p = 0.37 H 1 : p < 0.37 You obtain a sample of size n = 545 in which there are 166 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = Incorrect What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = Incorrect The p-value is... less than (or equal to) α greater than α Correct This test statistic leads to a decision to... reject the null accept the null fail to reject the null Correct As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.37. There is not sufficient evidence to warrant rejection of the claim that the probability of a true negative on a test for a certain cancer is less than 0.37. The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.37. There is not sufficient sample evidence to support the claim that the probability of a true negative on a test for a certain cancer is less than 0.37.

Answer 1

The statistical software output for this problem is:

Hence,

Test statistic = -3.163

p - Value = 0.0008

Final conclusion: The sample data support the claim that the probability of a true negative on a test for a certain cancer is less than 0.37.