Question

1) Find the P-value for a left-tailed hypothesis test with a test statistic of z=-2.23. Decide whether to reject the null hypothesis (Ho) if the level of significance (alpha) equals 0.01

2) Find the P-value for a right-tailed hypothesis test with a test statistic of z=1.82. Decide whether to reject the null hypothesis (Ho) if the level of significance (alpha) equals 0.09

3) Find the P-value for a two-tailed hypothesis test with a test statistic of z=2.14. Decide whether to reject the null hypothesis (Ho) if the level of significance (alpha) equals 0.05

Answer 1

solution

this is left tailed test

P(z <-2.33 ) = 0.0099

P-value = 0.0099

= 0.01  

P-value <

Reject the null hypothesis .

(B)

this is right tailed test

P(z >1.82 ) = 1 -P(z <1.82 ) = 1-0.9656=0.0344

P-value = 0.0344

= 0.09

P-value <

Reject the null hypothesis .

(C)

this is two-tailed  test

P(z >2.14 ) = 1 -P(z <2.14 ) = 1-0.9838=0.0162

P-value = 0.0162

= 0.05

P-value <

Reject the null hypothesis .