Question

A group of 26 patients scored 45.3 on a particular medical test after using an experimental drug, with a standard deviation of 5.8. A control group of patients administered a placebo scored 49.7 on the same test. Set up a hypothesis test to compare the experimental group with the control group. Perform the hypothesis test and interpret the results??.

Answer 1

Solution :

= 49.7

= 45.3

s =5.8

n = 26

This is the two tailed test .

The null and alternative hypothesis is

H0 :   =49.7

Ha : 49.7

Test statistic = t

= ( - ) / s / n

= (45.3 -49.7) / 5.8 / 26

= -3.868

P (Z < -3.868 ) = 0.0007

P-value = 0.0007