A Hypothesis Test Is to Be Performed for a Population $z = \frac { \hat { p } - \mathrm { p } _ { 0 } } { \sqrt { { p } _ { 0 } \left( 1 - \mathrm { p } _ { 0 } \right) / \mathrm { n } } }$

Multiple Choice

A hypothesis test is to be performed for a population proportion. For the given sample data and null hypothesis, compute the value of the test statistic, $z = \frac { \hat { p } - \mathrm { p } _ { 0 } } { \sqrt { { p } _ { 0 } \left( 1 - \mathrm { p } _ { 0 } \right) / \mathrm { n } } }$
-A research group wants to determine whether the proportion of car accidents caused by drivers using cell phones has changed from the previous value of 13%. They obtained 10,000 auto accident
Reports and found that 14% were caused by drivers using cell phones. The hypotheses are $\mathrm { H } _ { 0 } : \mathrm { p } = 0.13 , \mathrm { H } _ { \mathrm { a } } : \mathrm { p } \neq 0.13$
where p is the proportion of car accidents caused by drivers using cell
Phones.

A) 1.011
B) 2.974
C) 4.133
D) 5.947