A sociologist wants to determine if the life expectancy of people in Africa is less than the expectancy of people in Asia. The data obtained is shown in the table below.
$\begin{array}{ll}\hline \text { Africa } & \text { Asia } \\\overline{\bar{X}}_{1}=63.3 \mathrm{yr} . & \bar{X}_{2}=65.2 \mathrm{yr} . \\\sigma_{1}=9.1 \mathrm{yr} . & \sigma_{2}=7.3 \mathrm{yr} . \\n_{1}=120 & n_{2}=150 \\\hline\end{array}$
What is an appropriate null hypothesis?

Question

A sociologist wants to determine if the life expectancy of people in Africa is less than the expectancy of people in Asia. The data obtained is shown in the table below.
$\begin{array}{ll}
\hline \text { Africa } & \text { Asia } \
\overline{\bar{X}}_{1}=63.3 \mathrm{yr} . & \bar{X}_{2}=65.2 \mathrm{yr} . \
\sigma_{1}=9.1 \mathrm{yr} . & \sigma_{2}=7.3 \mathrm{yr} . \
n_{1}=120 & n_{2}=150 \
\hline
\end{array}$
What is an appropriate null hypothesis?
A) $H _ { 0 } : \mu _ { 1 } < \mu _ { 2 }$
B) $H _ { 0 } : \mu _ { 1 } \neq \mu _ { 2 }$
C) $H _ { 0 } : \mu _ { 1 } = \mu _ { 2 }$
D) $H _ { 0 } : \mu _ { 1 } > \mu _ { 2 }$

Quizplus · Accepted Answer

The appropriate null hypothesis for comparing two means is typically that there is no difference between them, which is expressed as $H_0 : \mu_1 = \mu_2$.

A Sociologist Wants to Determine If the Life Expectancy of People