Listed below are the numbers of words spoken in a day by each member of eight different randomly seledted couples. Complete parts $($a$)$ and $($b$)$ below.

$\backslash$table$[[$Male$,16,230,25,492,1464,7632,19,397,15,043,14,499,25,508],[$Female$,23,676,13,268,17,886,18,395,12,820,16,605,16,086,18,864]]$

a$.$ Use a $0\mathrm{.}01$ significance level to test the claim that among couples, males speak fewer words in a day than females. spoken by the female. What are the null and altemative hypotheses for the hypothesis test?

$H_0$:${}_d$ word$(s)$

$H_1={}_d,$ word$(s)$

$($Type integers or decimals. Do not round.$)$

Identify the test statistic.

$t=($Round to two decimal places as needed.$)$

Identify the P$-$value.

P$-$value $=($Round to three decimal places as needed.