stats question please help?

Ho: μ ≥ 20%

Ha: μ < 20%

Sample ......................10

Sample mean..............19.01

Standard deviation........2.071204695

Hypothesized Value......20

Standard Error..............0.654972434

P-value........................0.065328773

Since the P-value > α=.05, then we accept the null hypothesis that the software companies claim of a minimum 20% in cost savings is valid.

Xmean = (1/10)*(17+19.2+21.5+18.6+22.1+14.9+18.4+20.1+19.4+18.9) = 19.01

S^2(X) = (17^2+19.2^2+21.5^2+18.6^2+22.1^2+14.9^2+18.4^2+20.1^2+19.4^2+18.9^2-10*19.01^2)*(1/9) = 4.289888889

Pf(19.01 - tst(8; 0.975)*4.289888889/sqrt(10) < μ < 19.01 - tst(8; 0.975)*4.289888889/sqrt(10)) = 0.95

Pf(19.01 - 2.306*4.289888889/sqrt(10) < μ < 19.01 + 2.306*4.289888889/sqrt(10)) = 0.95

Pf( 15.88 < μ < 22.14 ) = 0.95

H0: μx ≥ 0.2

H1: μx < 0.2, α = 0.05

Decision Rule:

If (Xmean - μx)/(Sx/sqrt(n)) < - tst(n - 2; α) Reject H0.

If (0.1901- 0.2)/(4.289888889/3.162277660) < - 1.86, Reject H0.

If - 0.73e-2 ≮ - 1.86, we don't Reject H0.

We don't have significant evidence to show the the softwares companies claims of a minimum 20 % in cost savings was not valid