Question

The director of research and development is testing a new medicine. She wants to know if there is evidence at the 0.020.02 level that the medicine relieves pain in more than 346346 seconds. For a sample of 5858 patients, the mean time in which the medicine relieved pain was 352352 seconds. Assume the population standard deviation is 2323. Find the P-value of the test statistic.

Answer 1

Solution :

This is the right tailed test .

The null and alternative hypothesis is ,

H₀ :   = 346

H_a : > 346

Test statistic = z

= ( - ) / / n

= (352 - 346) / 23 / 58

= 1.99

P(z > 1.99) = 1 - P(z < 1.99) = 0.0233

P-value = 0.0233