Consider a test of $\mathrm { H } _ { 0 } : \mu = 90$ performed with the computer. SPSS reports a two-tailed p-value of 0.2112. Make the appropriate conclusion for the given situation: $\mathrm { H } _ { \mathrm { a } } : \mu 90 , z = 1.25 , \alpha = 0.10$
A) Reject $\mathrm { H } _ { 0 }$
B) Fail to reject $\mathrm { H } _ { 0 }$

Question

Consider a test of $\mathrm { H } _ { 0 } : \mu = 90$ performed with the computer. SPSS reports a two-tailed p-value of 0.2112. Make the appropriate conclusion for the given situation: $\mathrm { H } _ { \mathrm { a } } : \mu > 90 , z = 1.25 , \alpha = 0.10$
A) Reject $\mathrm { H } _ { 0 }$
B) Fail to reject $\mathrm { H } _ { 0 }$

Quizplus · Accepted Answer

Given a two-tailed p-value of 0.2112 for a test where $\mathrm { H } _ { \mathrm { a } } : \mu > 90$, we must halve the p-value for the one-tailed test, resulting in approximately 0.1056, which is greater than the significance level $\alpha = 0.10$. Therefore, we fail to reject the null hypothesis $\mathrm { H } _ { 0 } : \mu = 90$.

Consider a Test Of H0:μ=90\mathrm { H } _ { 0 } : \mu = 90H0​:μ=90

Consider a Test Of $\mathrm { H } _ { 0 } : \mu = 90$