Question

20) A test of significance is conducted for the hypotheses H 0 : μ = 200    vs.    H a : μ > 200. Suppose the z −score for this test was calculated as z =0.76. What is the P-value for this test of significance? Give your answer to four decimal places.

22) A one sample t −test of significance is conducted for the hypotheses H 0 : μ = 1000    vs.    H a : μ < 1000 using a sample of size 100. The value of the t −score is computed to be t = − 2.369. Which of the following is the correct estimate for the P-value using the T-Distribution chart?

A)

B)

C)

D)

Answer 1

Solution :

20 ) Given that

This is the right tailed test .

The null and alternative hypothesis is ,

H0 :    = 200

Ha : >200

Test statistic = z = 0.76

P(z > 0.76 ) = 1 - P(z < 0.76 ) = 1 -0.7764

P-value =0.2236

22 ) Given that ,

n =100

df = n- 1 = 100 -1 = 99

This is the left tailed test .

t =− 2.369

p value = p(t(99) < − 2.369)

= 0.0099

p value =0.0099