The following display from a TI-84 Plus calculator presents the results of a hypothesis test. What are the null and alternate hypotheses?
A) $\mathrm { H } _ { 0 } : \mu \neq 43 , \mathrm { H } _ { 1 } : \mu = 43$
B) $\mathrm { H } _ { 0 } : \mu = 43 , \mathrm { H } _ { 1 } : \mu \neq 43$
C) $\mathrm { H } _ { 0 } : \mu \neq 44.96 \mathrm { H } _ { 1 } : \mu = 44.96$
D) $\mathrm { H } _ { 0 } : \mu = 43 , \mathrm { H } _ { 1 } : \mu = 44.96$

Question

The following display from a TI-84 Plus calculator presents the results of a hypothesis test.  What are the null and alternate hypotheses? 
A) $\mathrm { H } _ { 0 } : \mu \neq 43 , \mathrm { H } _ { 1 } : \mu = 43$ 
B) $\mathrm { H } _ { 0 } : \mu = 43 , \mathrm { H } _ { 1 } : \mu \neq 43$ 
C) $\mathrm { H } _ { 0 } : \mu \neq 44.96 \mathrm { H } _ { 1 } : \mu = 44.96$ 
D) $\mathrm { H } _ { 0 } : \mu = 43 , \mathrm { H } _ { 1 } : \mu = 44.96$

Quizplus · Accepted Answer

The null hypothesis always assumes a specific value or condition, while the alternate hypothesis assumes the opposite of the null hypothesis. In this case, the null hypothesis is that the population mean is equal to 43, and the alternate hypothesis is that the population mean is not equal to 43. Therefore, the correct choice is B.

The Following Display from a TI-84 Plus Calculator Presents the Results