Question

Determine the sufficient evidence to reject the null hypothesis in favor of alternative hypothesis.

(a) z= 1.24 (b) z= -0.69

Short answer

(a) The P-value is 0.107488

(b) The P-value is 0.754903

Step-by-step solution

Step 1. Given

(a) z= 1.24 (b) z= -0.69

Part(a) Step 2. Calculation

Since the given hypothesis test is a Right -tailed test, the P-value is given by

$$\begin{gathered} P-value=P(z\ge z_0),wherez~N(0,1) \\ =P(z\ge -1.24) \\ =1-P(z<-1.24) \\ =1-0.892512 \\ 0.107488 \end{gathered}$$

Part(b) Step 3. Calculation

Since the given hypothesis test is a Right -tailed test, the P-value is given by

$$\begin{gathered} P-value=P(z\ge z_0),wherez~N(0,1) \\ =P(z\ge -0.69) \\ =1-P(z<-0.69) \\ =1-0.245097 \\ =0.759473 \end{gathered}$$