Question

26) Suppose we are deciding whether a new treatment is effective in reducing the duration (in days) of symptoms from influenze using the hypotheses:

H 0 : μ = 6.4    vs.    H a : μ < 6.4.

Suppose we calculate our P-value to be P = 0.0326. What do we conclude about the new treatment at significance level α = 0.02?

A) The data suggest that the new treatment is dangerous to patients.

B) The data suggest that the new treatment is effective at significance level 0.02.

C) The data suggest that the new treatment is not effective at significance level 0.02.

D) The answer depends on how the new treatment works.

Answer 1

Solution :

This is the left tailed test .

The null and alternative hypothesis is ,

H0 :    = 6.4

Ha : < 6.4

P-value =0.0326

= 0.02

P-value >

0.0326 > 0.02

Fail to reject the null hypothesis .

There is insufficient evidence to suggest that

The data suggest that the new treatment is not effective at significance level 0.02.