Consider using a z test to test H0: p = 0.2. Determine the P-value in each of the following situations. (Round your answers to four decimal places.)
(a) Ha: p > 0.2, z = 1.46
(b) Ha: p < 0.2, z = −2.77
(c) Ha: p ≠ 0.2, z = −2.77
(d) Ha: p < 0.2, z = 0.25
solution:
(a) Ha: p > 0.2, z = 1.46
p(z>1.46)=0.0721 using z table
(b) Ha: p < 0.2, z = −2.77
p(z<-2.77)=0.0028
(c) Ha: p ≠ 0.2, z = −2.77
p(z<-2.77)=0.0028
p value =2*0.0028=0.0056
(d) Ha: p < 0.2, z = 0.25
p(z<0.25)=0.5987
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