In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations possessed mean overbar x=10.6 and standard deviation s=2.6 Find and interpret the p-value for this test
The p-value for this test is __________. (Round to four decimal places as needed.)
Interpret the result. Choose the correct answer below.
A. There is sufficient evidence to reject H0 for α > 0.11.
B.There is insufficient evidence to reject H0 for α=0.15.
C.There is sufficient evidence to reject H0 for α < 0.11.
Solution :
This is the two tailed test .
The null and alternative hypothesis is ,
H0 : = 10
Ha : 10
= 10.6
= 10
s = 2.6
n = 50
Test statistic = t
= ( - ) / s / n
= (10.6 - 10) / 2.6 / 50
= 1.63
Test statistic = 1.63
Degrees of freedom = n - 1 = 50 - 1 = 49
P-value = 0.1095
The p-value for this test is 0.1095 .
= 0.11
P-value <
Reject the null hypothesis .
C.There is sufficient evidence to reject H 0 for α < 0.11.
In a test of the hypothesis H0: μ=10 versus Ha: μ≠10 a sample of =50 observations...
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