Question

1. Find the P-value for testing Ho: p= 0.3 vs HA: p< 0.3 if the test statistic is z= -1.01

2. Find the P-value for testing Ho: p= 0.5 vs HA: p> 0.5 if the test statistic is z= 3.11

3. Find the P-value for testing Ho: p= 0.72 vs HA: p =/ (does not equal) 0.72 of the test statistic is z= -2.84

Answer 1

solution:

this is the left tailed test .  

The null and alternative hypothesis is ,

H0 :   = 0.3

Ha : <0.3

Test statistic = z=-1.01

P(z <-1.01 ) =0.1562

P-value = 0.1562

2.

this is the right tailed test .  

The null and alternative hypothesis is ,

H0 :   = 0.5

Ha : > 0.5

Test statistic = z=3.11

p(z>3.11) =1- P(z <3.11 ) =1-0.9991=0.0009

P-value = 0.0009

3.

this is the two tailed test .  

The null and alternative hypothesis is ,

H0 :   = 0.72

Ha : =0.72

Test statistic = z=-2.84

P(z <-2.84 ) =0.0023

P-value = 2*0.0023=0.0046