You may need to use the appropriate technology to answer this question.

A survey asked respondents if they would rather live in a place with a slower pace of life or a place with a faster pa data.

$\backslash$table$[[\backslash$table$[[$Preferred Pace$],[$of Life$]],$Gender$],[$Male$,$Female$],[$Slower$,230,218],[$No Preference,$18,22],[$Faster$,92,50]]$

$($a$)$ Is the preferred pace of life independent of gender? Conduct a hypothesis test using a $0\mathrm{.}05$ level of significan

State the null and alternative hypotheses.

$H_0$ : Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders.

$H_a$ : Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both gend

$H_0$ : Preferring a slower pace of life is not mutually exclusive from preferring a faster pace for both gend

$H_a$ : Preferring a slower pace of life is mutually exclusive from preferring a faster pace for both genders

$H_0$ : The preferred pace of life is not independent of gender.

$H_a$ : The preferred pace of life is independent of gender.

$H_0$ : The preferred pace of life is independent of gender.

$H_a$ : The preferred pace of life is not independent of gender.

Find the value of the test statistic. $($Round your answer to three decimal places.$)$

Find the $p-$value. $($Round your answer to four decimal places.$)$

$p-$value $=$

State your conclusion.