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
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
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