Question

Consider a hypothesis test with H0: μ = 31, Ha: μ ≠ 31, when ?=9, ?* = 2.30 and ? = 0.05. Determine the decision (reject or fail to reject H0) you would reach, using the p-value approach, based on the evidence provided.

p-value:

Decision:

Reason:

Answer 1

Solution :

Givan that

n = 9

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   = 31

Ha :    31

Test statistic = t = 2.30

Df =n - 1 = 9 - 1 = 8

P-value = 2 * 1 - ( t 2.30 ; 8 )

= 2 * 1 - 0.9748

= 2 * 0.0252

= 0.0504

= 0.05  

0.0504 > 0.05

P-value >  

Fail to reject the null hypothesis .

There is insufficient evidence to claim