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 347347 seconds. For a sample of 5151 patients, the mean time in which the medicine relieved pain was 351351 seconds. Assume the population variance is known to be 576576.

Step 4 of 6 :  

Find the P-value of the test statistic. Round your answer to four decimal places.

Answer 1

Solution :

= 347

= 351

= 576 =24

n = 51

This is the right tailed test .

The null and alternative hypothesis is

H0 :   = 347

Ha : > 347

Test statistic = z

= ( - ) / / n

= (351-347) / 24 / 51

= 1.190

p(Z >1.190 ) = 1-P (Z < 1.190 ) =0.2340

P-value = 0.2340

= 0.02

0.2340> 0.02

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that