Find the P-value for the hypothesis test with the standardized test statistic z. Decide whether to reject $\mathrm { H } _ { 0 }$ for the level of significance α $\alpha$ Two-tailed test
Z = 1.95 $\alpha$ = 0.05
A)0.0512; fail to reject $\mathrm { H } _ { 0 }$
B)0.0256; reject $\mathrm { H } _ { 0 }$
C)0.0512; reject $\mathrm { H } _ { 0 }$
D)0.9744; fail to reject $\mathrm { H } _ { 0 }$

Question

Quizplus · Accepted Answer

For a two-tailed test with $Z = 1.95$ and $\alpha = 0.05$, the p-value is found by looking up the Z-score in a standard normal distribution table or using a calculator. The area to the right of $Z = 1.95$ is approximately 0.0256. Since it's a two-tailed test, we double this value to get the p-value, which is approximately 0.0512. Since the p-value (0.0512) is greater than $\alpha$ (0.05), we fail to reject the null hypothesis $\mathrm { H } _ { 0 }$.

Find the P-Value for the Hypothesis Test with the Standardized H0\mathrm { H } _ { 0 }H0​

Find the P-Value for the Hypothesis Test with the Standardized $\mathrm { H } _ { 0 }$