Find the Pvalue for the hypothesis test with the standardize

Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject H₀ for the level of significance .

Right-tailed test
z = 1.43
= 0.05

A) 0.1528; reject H0
      
B) 0.0764; Fail to reject H0
      
C) 0.0764; reject H0
      
D) 0.1528; fail to reject H0

Solution

Sol)

Given z=1.43 and alpha=0.05 and it is right tail test

P value= P(Z>1.43)

= ( 0.5 - P(0<Z<1.43)

= (0.5 -0.4236)

P vaue = 0.0764

Conclusion : p value=0.0764 and alpha=0.05, P > alpha, we fail to reject the Null hypothesis