In: Statistics and Probability
Suppose that we are to conduct the following hypothesis test:
H0:μ=40 Ha:μ<40
Suppose that you also know that σ=11, n=109, x¯=38, and take α=0.02. Draw the sampling distribution, and use it to determine each of the following. Use four decimal places.
1. The value of the standardized test statistic:
2. The p-value is C. Your decision for the hypothesis test:
3.
A Reject H0.
B. Fail to Reject Ha.
C. Fail to Reject H0.
D. Reject Ha.
this is the left tailed test .
The null and alternative hypothesis is ,
H0 : = 40
Ha : < 40
Test statistic = z
= ( - ) / / n
= (38 - 40) / 11/ 109
z= -1.90
P(z < -1.90 ) = 0.0287 using ztable
P-value = 0.0287
= 0.02
P-value >
fail to Reject the null hypothesis .